What is the Least Common Multiple of 64113 and 64131?

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 64113 and 64131 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64113 and 64131, than apply into the LCM equation.

GCF(64113,64131) = 3
LCM(64113,64131) = ( 64113 × 64131) / 3
LCM(64113,64131) = 4111630803 / 3
LCM(64113,64131) = 1370543601

Least Common Multiple (LCM) of 64113 and 64131 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64113 and 64131. First we will calculate the prime factors of 64113 and 64131.

Prime Factorization of 64113

Prime Factorization of 64131

Now multiplying the highest exponent prime factors to calculate the LCM of 64113 and 64131.

LCM(64113,64131) = 3¹ × 7¹ × 43¹ × 71¹ × 21377¹
LCM(64113,64131) = 1370543601