What is the Least Common Multiple of 40545 and 40560?

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 40545 and 40560 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40545 and 40560, than apply into the LCM equation.

GCF(40545,40560) = 15
LCM(40545,40560) = ( 40545 × 40560) / 15
LCM(40545,40560) = 1644505200 / 15
LCM(40545,40560) = 109633680

Least Common Multiple (LCM) of 40545 and 40560 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40545 and 40560. First we will calculate the prime factors of 40545 and 40560.

Prime Factorization of 40545

Prime Factorization of 40560

Now multiplying the highest exponent prime factors to calculate the LCM of 40545 and 40560.

LCM(40545,40560) = 3² × 5¹ × 17¹ × 53¹ × 2⁴ × 13²
LCM(40545,40560) = 109633680