What is the Least Common Multiple of 64892 and 64906?

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 64892 and 64906 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64892 and 64906, than apply into the LCM equation.

GCF(64892,64906) = 2
LCM(64892,64906) = ( 64892 × 64906) / 2
LCM(64892,64906) = 4211880152 / 2
LCM(64892,64906) = 2105940076

Least Common Multiple (LCM) of 64892 and 64906 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64892 and 64906. First we will calculate the prime factors of 64892 and 64906.

Prime Factorization of 64892

Prime Factorization of 64906

Now multiplying the highest exponent prime factors to calculate the LCM of 64892 and 64906.

LCM(64892,64906) = 2² × 16223¹ × 17¹ × 23¹ × 83¹
LCM(64892,64906) = 2105940076