What is the Least Common Multiple of 72674 and 72688?

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 72674 and 72688 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72674 and 72688, than apply into the LCM equation.

GCF(72674,72688) = 14
LCM(72674,72688) = ( 72674 × 72688) / 14
LCM(72674,72688) = 5282527712 / 14
LCM(72674,72688) = 377323408

Least Common Multiple (LCM) of 72674 and 72688 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72674 and 72688. First we will calculate the prime factors of 72674 and 72688.

Prime Factorization of 72674

Prime Factorization of 72688

Now multiplying the highest exponent prime factors to calculate the LCM of 72674 and 72688.

LCM(72674,72688) = 2⁴ × 7¹ × 29¹ × 179¹ × 11¹ × 59¹
LCM(72674,72688) = 377323408