What is the Least Common Multiple of 40548 and 40564?

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 40548 and 40564 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40548 and 40564, than apply into the LCM equation.

GCF(40548,40564) = 4
LCM(40548,40564) = ( 40548 × 40564) / 4
LCM(40548,40564) = 1644789072 / 4
LCM(40548,40564) = 411197268

Least Common Multiple (LCM) of 40548 and 40564 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40548 and 40564. First we will calculate the prime factors of 40548 and 40564.

Prime Factorization of 40548

Prime Factorization of 40564

Now multiplying the highest exponent prime factors to calculate the LCM of 40548 and 40564.

LCM(40548,40564) = 2² × 3¹ × 31¹ × 109¹ × 10141¹
LCM(40548,40564) = 411197268