What is the Least Common Multiple of 92664 and 92670?

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 92664 and 92670 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92664 and 92670, than apply into the LCM equation.

GCF(92664,92670) = 6
LCM(92664,92670) = ( 92664 × 92670) / 6
LCM(92664,92670) = 8587172880 / 6
LCM(92664,92670) = 1431195480

Least Common Multiple (LCM) of 92664 and 92670 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92664 and 92670. First we will calculate the prime factors of 92664 and 92670.

Prime Factorization of 92664

Prime Factorization of 92670

Now multiplying the highest exponent prime factors to calculate the LCM of 92664 and 92670.

LCM(92664,92670) = 2³ × 3⁴ × 11¹ × 13¹ × 5¹ × 3089¹
LCM(92664,92670) = 1431195480