What is the Least Common Multiple of 67252 and 67272?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 67252 and 67272 is 1131044136.
LCM(67252,67272) = 1131044136
Least Common Multiple of 67252 and 67272 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67252 and 67272, than apply into the LCM equation.
GCF(67252,67272) = 4
LCM(67252,67272) = ( 67252 × 67272) / 4
LCM(67252,67272) = 4524176544 / 4
LCM(67252,67272) = 1131044136
Least Common Multiple (LCM) of 67252 and 67272 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 67252 and 67272. First we will calculate the prime factors of 67252 and 67272.
Prime Factorization of 67252
Prime factors of 67252 are 2, 17, 23, 43. Prime factorization of 67252 in exponential form is:
67252 = 22 × 171 × 231 × 431
Prime Factorization of 67272
Prime factors of 67272 are 2, 3, 2803. Prime factorization of 67272 in exponential form is:
67272 = 23 × 31 × 28031
Now multiplying the highest exponent prime factors to calculate the LCM of 67252 and 67272.
LCM(67252,67272) = 23 × 171 × 231 × 431 × 31 × 28031
LCM(67252,67272) = 1131044136
Related Least Common Multiples of 67252
- LCM of 67252 and 67256
- LCM of 67252 and 67257
- LCM of 67252 and 67258
- LCM of 67252 and 67259
- LCM of 67252 and 67260
- LCM of 67252 and 67261
- LCM of 67252 and 67262
- LCM of 67252 and 67263
- LCM of 67252 and 67264
- LCM of 67252 and 67265
- LCM of 67252 and 67266
- LCM of 67252 and 67267
- LCM of 67252 and 67268
- LCM of 67252 and 67269
- LCM of 67252 and 67270
- LCM of 67252 and 67271
- LCM of 67252 and 67272
Related Least Common Multiples of 67272
- LCM of 67272 and 67276
- LCM of 67272 and 67277
- LCM of 67272 and 67278
- LCM of 67272 and 67279
- LCM of 67272 and 67280
- LCM of 67272 and 67281
- LCM of 67272 and 67282
- LCM of 67272 and 67283
- LCM of 67272 and 67284
- LCM of 67272 and 67285
- LCM of 67272 and 67286
- LCM of 67272 and 67287
- LCM of 67272 and 67288
- LCM of 67272 and 67289
- LCM of 67272 and 67290
- LCM of 67272 and 67291
- LCM of 67272 and 67292