What is the Least Common Multiple of 71624 and 71638?

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 71624 and 71638 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71624 and 71638, than apply into the LCM equation.

GCF(71624,71638) = 14
LCM(71624,71638) = ( 71624 × 71638) / 14
LCM(71624,71638) = 5131000112 / 14
LCM(71624,71638) = 366500008

Least Common Multiple (LCM) of 71624 and 71638 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71624 and 71638. First we will calculate the prime factors of 71624 and 71638.

Prime Factorization of 71624

Prime Factorization of 71638

Now multiplying the highest exponent prime factors to calculate the LCM of 71624 and 71638.

LCM(71624,71638) = 2³ × 7² × 1279¹ × 17¹ × 43¹
LCM(71624,71638) = 366500008