What is the Least Common Multiple of 27624 and 27642?

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 27624 and 27642 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27624 and 27642, than apply into the LCM equation.

GCF(27624,27642) = 6
LCM(27624,27642) = ( 27624 × 27642) / 6
LCM(27624,27642) = 763582608 / 6
LCM(27624,27642) = 127263768

Least Common Multiple (LCM) of 27624 and 27642 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27624 and 27642. First we will calculate the prime factors of 27624 and 27642.

Prime Factorization of 27624

Prime Factorization of 27642

Now multiplying the highest exponent prime factors to calculate the LCM of 27624 and 27642.

LCM(27624,27642) = 2³ × 3¹ × 1151¹ × 17¹ × 271¹
LCM(27624,27642) = 127263768