What is the Least Common Multiple of 40940 and 40944?

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 40940 and 40944 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40940 and 40944, than apply into the LCM equation.

GCF(40940,40944) = 4
LCM(40940,40944) = ( 40940 × 40944) / 4
LCM(40940,40944) = 1676247360 / 4
LCM(40940,40944) = 419061840

Least Common Multiple (LCM) of 40940 and 40944 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40940 and 40944. First we will calculate the prime factors of 40940 and 40944.

Prime Factorization of 40940

Prime Factorization of 40944

Now multiplying the highest exponent prime factors to calculate the LCM of 40940 and 40944.

LCM(40940,40944) = 2⁴ × 5¹ × 23¹ × 89¹ × 3¹ × 853¹
LCM(40940,40944) = 419061840