What is the Least Common Multiple of 62532 and 62541?

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 62532 and 62541 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62532 and 62541, than apply into the LCM equation.

GCF(62532,62541) = 9
LCM(62532,62541) = ( 62532 × 62541) / 9
LCM(62532,62541) = 3910813812 / 9
LCM(62532,62541) = 434534868

Least Common Multiple (LCM) of 62532 and 62541 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62532 and 62541. First we will calculate the prime factors of 62532 and 62541.

Prime Factorization of 62532

Prime Factorization of 62541

Now multiplying the highest exponent prime factors to calculate the LCM of 62532 and 62541.

LCM(62532,62541) = 2² × 3⁴ × 193¹ × 6949¹
LCM(62532,62541) = 434534868