What is the Least Common Multiple of 42624 and 42639?

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 42639 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 42639, than apply into the LCM equation.

GCF(42624,42639) = 3
LCM(42624,42639) = ( 42624 × 42639) / 3
LCM(42624,42639) = 1817444736 / 3
LCM(42624,42639) = 605814912

Least Common Multiple (LCM) of 42624 and 42639 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42624 and 42639. First we will calculate the prime factors of 42624 and 42639.

Prime Factorization of 42624

Prime Factorization of 42639

Now multiplying the highest exponent prime factors to calculate the LCM of 42624 and 42639.

LCM(42624,42639) = 2⁷ × 3² × 37¹ × 61¹ × 233¹
LCM(42624,42639) = 605814912