What is the Least Common Multiple of 64119 and 64132?

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 64119 and 64132 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64119 and 64132, than apply into the LCM equation.

GCF(64119,64132) = 1
LCM(64119,64132) = ( 64119 × 64132) / 1
LCM(64119,64132) = 4112079708 / 1
LCM(64119,64132) = 4112079708

Least Common Multiple (LCM) of 64119 and 64132 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64119 and 64132. First we will calculate the prime factors of 64119 and 64132.

Prime Factorization of 64119

Prime Factorization of 64132

Now multiplying the highest exponent prime factors to calculate the LCM of 64119 and 64132.

LCM(64119,64132) = 3¹ × 11¹ × 29¹ × 67¹ × 2² × 16033¹
LCM(64119,64132) = 4112079708