What is the Least Common Multiple of 638 and 651?
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 638 and 651 is 415338.
LCM(638,651) = 415338
Least Common Multiple of 638 and 651 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 638 and 651, than apply into the LCM equation.
GCF(638,651) = 1
LCM(638,651) = ( 638 × 651) / 1
LCM(638,651) = 415338 / 1
LCM(638,651) = 415338
Least Common Multiple (LCM) of 638 and 651 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 638 and 651. First we will calculate the prime factors of 638 and 651.
Prime Factorization of 638
Prime factors of 638 are 2, 11, 29. Prime factorization of 638 in exponential form is:
638 = 21 × 111 × 291
Prime Factorization of 651
Prime factors of 651 are 3, 7, 31. Prime factorization of 651 in exponential form is:
651 = 31 × 71 × 311
Now multiplying the highest exponent prime factors to calculate the LCM of 638 and 651.
LCM(638,651) = 21 × 111 × 291 × 31 × 71 × 311
LCM(638,651) = 415338
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