What is the Least Common Multiple of 62038 and 62056?

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 62038 and 62056 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62038 and 62056, than apply into the LCM equation.

GCF(62038,62056) = 2
LCM(62038,62056) = ( 62038 × 62056) / 2
LCM(62038,62056) = 3849830128 / 2
LCM(62038,62056) = 1924915064

Least Common Multiple (LCM) of 62038 and 62056 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62038 and 62056. First we will calculate the prime factors of 62038 and 62056.

Prime Factorization of 62038

Prime Factorization of 62056

Now multiplying the highest exponent prime factors to calculate the LCM of 62038 and 62056.

LCM(62038,62056) = 2³ × 31019¹ × 7757¹
LCM(62038,62056) = 1924915064