What is the Least Common Multiple of 79456 and 79470?

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 79456 and 79470 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79456 and 79470, than apply into the LCM equation.

GCF(79456,79470) = 2
LCM(79456,79470) = ( 79456 × 79470) / 2
LCM(79456,79470) = 6314368320 / 2
LCM(79456,79470) = 3157184160

Least Common Multiple (LCM) of 79456 and 79470 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79456 and 79470. First we will calculate the prime factors of 79456 and 79470.

Prime Factorization of 79456

Prime Factorization of 79470

Now multiplying the highest exponent prime factors to calculate the LCM of 79456 and 79470.

LCM(79456,79470) = 2⁵ × 13¹ × 191¹ × 3² × 5¹ × 883¹
LCM(79456,79470) = 3157184160