What is the Least Common Multiple of 92416 and 92430?

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 92416 and 92430 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92416 and 92430, than apply into the LCM equation.

GCF(92416,92430) = 2
LCM(92416,92430) = ( 92416 × 92430) / 2
LCM(92416,92430) = 8542010880 / 2
LCM(92416,92430) = 4271005440

Least Common Multiple (LCM) of 92416 and 92430 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92416 and 92430. First we will calculate the prime factors of 92416 and 92430.

Prime Factorization of 92416

Prime Factorization of 92430

Now multiplying the highest exponent prime factors to calculate the LCM of 92416 and 92430.

LCM(92416,92430) = 2⁸ × 19² × 3² × 5¹ × 13¹ × 79¹
LCM(92416,92430) = 4271005440