What is the Least Common Multiple of 62056 and 62072?

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 62056 and 62072 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62056 and 62072, than apply into the LCM equation.

GCF(62056,62072) = 8
LCM(62056,62072) = ( 62056 × 62072) / 8
LCM(62056,62072) = 3851940032 / 8
LCM(62056,62072) = 481492504

Least Common Multiple (LCM) of 62056 and 62072 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62056 and 62072. First we will calculate the prime factors of 62056 and 62072.

Prime Factorization of 62056

Prime Factorization of 62072

Now multiplying the highest exponent prime factors to calculate the LCM of 62056 and 62072.

LCM(62056,62072) = 2³ × 7757¹ × 7759¹
LCM(62056,62072) = 481492504