What is the Least Common Multiple of 52978 and 52992?

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 52978 and 52992 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52978 and 52992, than apply into the LCM equation.

GCF(52978,52992) = 2
LCM(52978,52992) = ( 52978 × 52992) / 2
LCM(52978,52992) = 2807410176 / 2
LCM(52978,52992) = 1403705088

Least Common Multiple (LCM) of 52978 and 52992 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52978 and 52992. First we will calculate the prime factors of 52978 and 52992.

Prime Factorization of 52978

Prime Factorization of 52992

Now multiplying the highest exponent prime factors to calculate the LCM of 52978 and 52992.

LCM(52978,52992) = 2⁸ × 26489¹ × 3² × 23¹
LCM(52978,52992) = 1403705088