What is the Least Common Multiple of 40978 and 40992?

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 40978 and 40992 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40978 and 40992, than apply into the LCM equation.

GCF(40978,40992) = 14
LCM(40978,40992) = ( 40978 × 40992) / 14
LCM(40978,40992) = 1679770176 / 14
LCM(40978,40992) = 119983584

Least Common Multiple (LCM) of 40978 and 40992 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40978 and 40992. First we will calculate the prime factors of 40978 and 40992.

Prime Factorization of 40978

Prime Factorization of 40992

Now multiplying the highest exponent prime factors to calculate the LCM of 40978 and 40992.

LCM(40978,40992) = 2⁵ × 7¹ × 2927¹ × 3¹ × 61¹
LCM(40978,40992) = 119983584