What is the Least Common Multiple of 64647 and 64655?
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 64647 and 64655 is 4179751785.
LCM(64647,64655) = 4179751785
Least Common Multiple of 64647 and 64655 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64647 and 64655, than apply into the LCM equation.
GCF(64647,64655) = 1
LCM(64647,64655) = ( 64647 × 64655) / 1
LCM(64647,64655) = 4179751785 / 1
LCM(64647,64655) = 4179751785
Least Common Multiple (LCM) of 64647 and 64655 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64647 and 64655. First we will calculate the prime factors of 64647 and 64655.
Prime Factorization of 64647
Prime factors of 64647 are 3, 11, 653. Prime factorization of 64647 in exponential form is:
64647 = 32 × 111 × 6531
Prime Factorization of 64655
Prime factors of 64655 are 5, 67, 193. Prime factorization of 64655 in exponential form is:
64655 = 51 × 671 × 1931
Now multiplying the highest exponent prime factors to calculate the LCM of 64647 and 64655.
LCM(64647,64655) = 32 × 111 × 6531 × 51 × 671 × 1931
LCM(64647,64655) = 4179751785
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