What is the Least Common Multiple of 64912 and 64921?

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 of 64912 and 64921 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64912 and 64921, than apply into the LCM equation.

GCF(64912,64921) = 1
LCM(64912,64921) = ( 64912 × 64921) / 1
LCM(64912,64921) = 4214151952 / 1
LCM(64912,64921) = 4214151952

Least Common Multiple (LCM) of 64912 and 64921 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64912 and 64921. First we will calculate the prime factors of 64912 and 64921.

Prime Factorization of 64912

Prime Factorization of 64921

Now multiplying the highest exponent prime factors to calculate the LCM of 64912 and 64921.

LCM(64912,64921) = 2⁴ × 4057¹ × 64921¹
LCM(64912,64921) = 4214151952