What is the Least Common Multiple of 62566 and 62572?

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 62566 and 62572 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62566 and 62572, than apply into the LCM equation.

GCF(62566,62572) = 2
LCM(62566,62572) = ( 62566 × 62572) / 2
LCM(62566,62572) = 3914879752 / 2
LCM(62566,62572) = 1957439876

Least Common Multiple (LCM) of 62566 and 62572 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62566 and 62572. First we will calculate the prime factors of 62566 and 62572.

Prime Factorization of 62566

Prime Factorization of 62572

Now multiplying the highest exponent prime factors to calculate the LCM of 62566 and 62572.

LCM(62566,62572) = 2² × 7¹ × 41¹ × 109¹ × 15643¹
LCM(62566,62572) = 1957439876