What is the Least Common Multiple of 268 and 277?
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 268 and 277 is 74236.
LCM(268,277) = 74236
Least Common Multiple of 268 and 277 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 268 and 277, than apply into the LCM equation.
GCF(268,277) = 1
LCM(268,277) = ( 268 × 277) / 1
LCM(268,277) = 74236 / 1
LCM(268,277) = 74236
Least Common Multiple (LCM) of 268 and 277 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 268 and 277. First we will calculate the prime factors of 268 and 277.
Prime Factorization of 268
Prime factors of 268 are 2, 67. Prime factorization of 268 in exponential form is:
268 = 22 × 671
Prime Factorization of 277
Prime factors of 277 are 277. Prime factorization of 277 in exponential form is:
277 = 2771
Now multiplying the highest exponent prime factors to calculate the LCM of 268 and 277.
LCM(268,277) = 22 × 671 × 2771
LCM(268,277) = 74236
Related Least Common Multiples of 268
- LCM of 268 and 272
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Related Least Common Multiples of 277
- LCM of 277 and 281
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