What is the Least Common Multiple of 274 and 278?
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 274 and 278 is 38086.
LCM(274,278) = 38086
Least Common Multiple of 274 and 278 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 274 and 278, than apply into the LCM equation.
GCF(274,278) = 2
LCM(274,278) = ( 274 × 278) / 2
LCM(274,278) = 76172 / 2
LCM(274,278) = 38086
Least Common Multiple (LCM) of 274 and 278 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 274 and 278. First we will calculate the prime factors of 274 and 278.
Prime Factorization of 274
Prime factors of 274 are 2, 137. Prime factorization of 274 in exponential form is:
274 = 21 × 1371
Prime Factorization of 278
Prime factors of 278 are 2, 139. Prime factorization of 278 in exponential form is:
278 = 21 × 1391
Now multiplying the highest exponent prime factors to calculate the LCM of 274 and 278.
LCM(274,278) = 21 × 1371 × 1391
LCM(274,278) = 38086
Related Least Common Multiples of 274
- LCM of 274 and 278
- LCM of 274 and 279
- LCM of 274 and 280
- LCM of 274 and 281
- LCM of 274 and 282
- LCM of 274 and 283
- LCM of 274 and 284
- LCM of 274 and 285
- LCM of 274 and 286
- LCM of 274 and 287
- LCM of 274 and 288
- LCM of 274 and 289
- LCM of 274 and 290
- LCM of 274 and 291
- LCM of 274 and 292
- LCM of 274 and 293
- LCM of 274 and 294
Related Least Common Multiples of 278
- LCM of 278 and 282
- LCM of 278 and 283
- LCM of 278 and 284
- LCM of 278 and 285
- LCM of 278 and 286
- LCM of 278 and 287
- LCM of 278 and 288
- LCM of 278 and 289
- LCM of 278 and 290
- LCM of 278 and 291
- LCM of 278 and 292
- LCM of 278 and 293
- LCM of 278 and 294
- LCM of 278 and 295
- LCM of 278 and 296
- LCM of 278 and 297
- LCM of 278 and 298