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What is the Least Common Multiple of 64923 and 64927?

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 64923 and 64927 is 4215255621.

LCM(64923,64927) = 4215255621

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Least Common Multiple of 64923 and 64927 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64923 and 64927, than apply into the LCM equation.

GCF(64923,64927) = 1
LCM(64923,64927) = ( 64923 × 64927) / 1
LCM(64923,64927) = 4215255621 / 1
LCM(64923,64927) = 4215255621

Least Common Multiple (LCM) of 64923 and 64927 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64923 and 64927. First we will calculate the prime factors of 64923 and 64927.

Prime Factorization of 64923

Prime factors of 64923 are 3, 17, 19, 67. Prime factorization of 64923 in exponential form is:

64923 = 31 × 171 × 191 × 671

Prime Factorization of 64927

Prime factors of 64927 are 64927. Prime factorization of 64927 in exponential form is:

64927 = 649271

Now multiplying the highest exponent prime factors to calculate the LCM of 64923 and 64927.

LCM(64923,64927) = 31 × 171 × 191 × 671 × 649271
LCM(64923,64927) = 4215255621