What is the Least Common Multiple of 64100 and 64112?

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 64100 and 64112 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64100 and 64112, than apply into the LCM equation.

GCF(64100,64112) = 4
LCM(64100,64112) = ( 64100 × 64112) / 4
LCM(64100,64112) = 4109579200 / 4
LCM(64100,64112) = 1027394800

Least Common Multiple (LCM) of 64100 and 64112 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64100 and 64112. First we will calculate the prime factors of 64100 and 64112.

Prime Factorization of 64100

Prime Factorization of 64112

Now multiplying the highest exponent prime factors to calculate the LCM of 64100 and 64112.

LCM(64100,64112) = 2⁴ × 5² × 641¹ × 4007¹
LCM(64100,64112) = 1027394800