What is the Least Common Multiple of 62546 and 62564?

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 62546 and 62564 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62546 and 62564, than apply into the LCM equation.

GCF(62546,62564) = 2
LCM(62546,62564) = ( 62546 × 62564) / 2
LCM(62546,62564) = 3913127944 / 2
LCM(62546,62564) = 1956563972

Least Common Multiple (LCM) of 62546 and 62564 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62546 and 62564. First we will calculate the prime factors of 62546 and 62564.

Prime Factorization of 62546

Prime Factorization of 62564

Now multiplying the highest exponent prime factors to calculate the LCM of 62546 and 62564.

LCM(62546,62564) = 2² × 11¹ × 2843¹ × 15641¹
LCM(62546,62564) = 1956563972