What is the Least Common Multiple of 52978 and 52998?

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 52998 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 52998, than apply into the LCM equation.

GCF(52978,52998) = 2
LCM(52978,52998) = ( 52978 × 52998) / 2
LCM(52978,52998) = 2807728044 / 2
LCM(52978,52998) = 1403864022

Least Common Multiple (LCM) of 52978 and 52998 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52978 and 52998. First we will calculate the prime factors of 52978 and 52998.

Prime Factorization of 52978

Prime Factorization of 52998

Now multiplying the highest exponent prime factors to calculate the LCM of 52978 and 52998.

LCM(52978,52998) = 2¹ × 26489¹ × 3¹ × 11² × 73¹
LCM(52978,52998) = 1403864022