What is the Least Common Multiple of 40920 and 40929?

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 40920 and 40929 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40920 and 40929, than apply into the LCM equation.

GCF(40920,40929) = 3
LCM(40920,40929) = ( 40920 × 40929) / 3
LCM(40920,40929) = 1674814680 / 3
LCM(40920,40929) = 558271560

Least Common Multiple (LCM) of 40920 and 40929 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40920 and 40929. First we will calculate the prime factors of 40920 and 40929.

Prime Factorization of 40920

Prime Factorization of 40929

Now multiplying the highest exponent prime factors to calculate the LCM of 40920 and 40929.

LCM(40920,40929) = 2³ × 3¹ × 5¹ × 11¹ × 31¹ × 7¹ × 1949¹
LCM(40920,40929) = 558271560