What is the Least Common Multiple of 62968 and 62974?

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 62968 and 62974 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62968 and 62974, than apply into the LCM equation.

GCF(62968,62974) = 2
LCM(62968,62974) = ( 62968 × 62974) / 2
LCM(62968,62974) = 3965346832 / 2
LCM(62968,62974) = 1982673416

Least Common Multiple (LCM) of 62968 and 62974 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62968 and 62974. First we will calculate the prime factors of 62968 and 62974.

Prime Factorization of 62968

Prime Factorization of 62974

Now multiplying the highest exponent prime factors to calculate the LCM of 62968 and 62974.

LCM(62968,62974) = 2³ × 17¹ × 463¹ × 23¹ × 37²
LCM(62968,62974) = 1982673416