What is the Least Common Multiple of 42642 and 42654?

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 42642 and 42654 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42642 and 42654, than apply into the LCM equation.

GCF(42642,42654) = 6
LCM(42642,42654) = ( 42642 × 42654) / 6
LCM(42642,42654) = 1818851868 / 6
LCM(42642,42654) = 303141978

Least Common Multiple (LCM) of 42642 and 42654 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42642 and 42654. First we will calculate the prime factors of 42642 and 42654.

Prime Factorization of 42642

Prime Factorization of 42654

Now multiplying the highest exponent prime factors to calculate the LCM of 42642 and 42654.

LCM(42642,42654) = 2¹ × 3² × 23¹ × 103¹ × 7109¹
LCM(42642,42654) = 303141978