What is the Least Common Multiple of 64600 and 64619?

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 64600 and 64619 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64600 and 64619, than apply into the LCM equation.

GCF(64600,64619) = 19
LCM(64600,64619) = ( 64600 × 64619) / 19
LCM(64600,64619) = 4174387400 / 19
LCM(64600,64619) = 219704600

Least Common Multiple (LCM) of 64600 and 64619 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64600 and 64619. First we will calculate the prime factors of 64600 and 64619.

Prime Factorization of 64600

Prime Factorization of 64619

Now multiplying the highest exponent prime factors to calculate the LCM of 64600 and 64619.

LCM(64600,64619) = 2³ × 5² × 17¹ × 19² × 179¹
LCM(64600,64619) = 219704600