What is the Least Common Multiple of 25308 and 25324?
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 25308 and 25324 is 160224948.
LCM(25308,25324) = 160224948
Least Common Multiple of 25308 and 25324 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25308 and 25324, than apply into the LCM equation.
GCF(25308,25324) = 4
LCM(25308,25324) = ( 25308 × 25324) / 4
LCM(25308,25324) = 640899792 / 4
LCM(25308,25324) = 160224948
Least Common Multiple (LCM) of 25308 and 25324 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 25308 and 25324. First we will calculate the prime factors of 25308 and 25324.
Prime Factorization of 25308
Prime factors of 25308 are 2, 3, 19, 37. Prime factorization of 25308 in exponential form is:
25308 = 22 × 32 × 191 × 371
Prime Factorization of 25324
Prime factors of 25324 are 2, 13, 487. Prime factorization of 25324 in exponential form is:
25324 = 22 × 131 × 4871
Now multiplying the highest exponent prime factors to calculate the LCM of 25308 and 25324.
LCM(25308,25324) = 22 × 32 × 191 × 371 × 131 × 4871
LCM(25308,25324) = 160224948
Related Least Common Multiples of 25308
- LCM of 25308 and 25312
- LCM of 25308 and 25313
- LCM of 25308 and 25314
- LCM of 25308 and 25315
- LCM of 25308 and 25316
- LCM of 25308 and 25317
- LCM of 25308 and 25318
- LCM of 25308 and 25319
- LCM of 25308 and 25320
- LCM of 25308 and 25321
- LCM of 25308 and 25322
- LCM of 25308 and 25323
- LCM of 25308 and 25324
- LCM of 25308 and 25325
- LCM of 25308 and 25326
- LCM of 25308 and 25327
- LCM of 25308 and 25328
Related Least Common Multiples of 25324
- LCM of 25324 and 25328
- LCM of 25324 and 25329
- LCM of 25324 and 25330
- LCM of 25324 and 25331
- LCM of 25324 and 25332
- LCM of 25324 and 25333
- LCM of 25324 and 25334
- LCM of 25324 and 25335
- LCM of 25324 and 25336
- LCM of 25324 and 25337
- LCM of 25324 and 25338
- LCM of 25324 and 25339
- LCM of 25324 and 25340
- LCM of 25324 and 25341
- LCM of 25324 and 25342
- LCM of 25324 and 25343
- LCM of 25324 and 25344