What is the Least Common Multiple of 40794 and 40812?

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 40794 and 40812 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40794 and 40812, than apply into the LCM equation.

GCF(40794,40812) = 6
LCM(40794,40812) = ( 40794 × 40812) / 6
LCM(40794,40812) = 1664884728 / 6
LCM(40794,40812) = 277480788

Least Common Multiple (LCM) of 40794 and 40812 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40794 and 40812. First we will calculate the prime factors of 40794 and 40812.

Prime Factorization of 40794

Prime Factorization of 40812

Now multiplying the highest exponent prime factors to calculate the LCM of 40794 and 40812.

LCM(40794,40812) = 2² × 3¹ × 13¹ × 523¹ × 19¹ × 179¹
LCM(40794,40812) = 277480788