What is the Least Common Multiple of 42624 and 42640?

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 42624 and 42640 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42624 and 42640, than apply into the LCM equation.

GCF(42624,42640) = 16
LCM(42624,42640) = ( 42624 × 42640) / 16
LCM(42624,42640) = 1817487360 / 16
LCM(42624,42640) = 113592960

Least Common Multiple (LCM) of 42624 and 42640 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42624 and 42640. First we will calculate the prime factors of 42624 and 42640.

Prime Factorization of 42624

Prime Factorization of 42640

Now multiplying the highest exponent prime factors to calculate the LCM of 42624 and 42640.

LCM(42624,42640) = 2⁷ × 3² × 37¹ × 5¹ × 13¹ × 41¹
LCM(42624,42640) = 113592960