What is the Least Common Multiple of 62541 and 62553?

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 62541 and 62553 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62541 and 62553, than apply into the LCM equation.

GCF(62541,62553) = 3
LCM(62541,62553) = ( 62541 × 62553) / 3
LCM(62541,62553) = 3912127173 / 3
LCM(62541,62553) = 1304042391

Least Common Multiple (LCM) of 62541 and 62553 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62541 and 62553. First we will calculate the prime factors of 62541 and 62553.

Prime Factorization of 62541

Prime Factorization of 62553

Now multiplying the highest exponent prime factors to calculate the LCM of 62541 and 62553.

LCM(62541,62553) = 3² × 6949¹ × 29¹ × 719¹
LCM(62541,62553) = 1304042391