What is the Least Common Multiple of 89712 and 89726?

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 89712 and 89726 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89712 and 89726, than apply into the LCM equation.

GCF(89712,89726) = 14
LCM(89712,89726) = ( 89712 × 89726) / 14
LCM(89712,89726) = 8049498912 / 14
LCM(89712,89726) = 574964208

Least Common Multiple (LCM) of 89712 and 89726 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89712 and 89726. First we will calculate the prime factors of 89712 and 89726.

Prime Factorization of 89712

Prime Factorization of 89726

Now multiplying the highest exponent prime factors to calculate the LCM of 89712 and 89726.

LCM(89712,89726) = 2⁴ × 3² × 7¹ × 89¹ × 13¹ × 17¹ × 29¹
LCM(89712,89726) = 574964208