What is the Least Common Multiple of 62974 and 62992?

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 62974 and 62992 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62974 and 62992, than apply into the LCM equation.

GCF(62974,62992) = 2
LCM(62974,62992) = ( 62974 × 62992) / 2
LCM(62974,62992) = 3966858208 / 2
LCM(62974,62992) = 1983429104

Least Common Multiple (LCM) of 62974 and 62992 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62974 and 62992. First we will calculate the prime factors of 62974 and 62992.

Prime Factorization of 62974

Prime Factorization of 62992

Now multiplying the highest exponent prime factors to calculate the LCM of 62974 and 62992.

LCM(62974,62992) = 2⁴ × 23¹ × 37² × 31¹ × 127¹
LCM(62974,62992) = 1983429104