What is the Least Common Multiple of 79664 and 79670?

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 79664 and 79670 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79664 and 79670, than apply into the LCM equation.

GCF(79664,79670) = 2
LCM(79664,79670) = ( 79664 × 79670) / 2
LCM(79664,79670) = 6346830880 / 2
LCM(79664,79670) = 3173415440

Least Common Multiple (LCM) of 79664 and 79670 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79664 and 79670. First we will calculate the prime factors of 79664 and 79670.

Prime Factorization of 79664

Prime Factorization of 79670

Now multiplying the highest exponent prime factors to calculate the LCM of 79664 and 79670.

LCM(79664,79670) = 2⁴ × 13¹ × 383¹ × 5¹ × 31¹ × 257¹
LCM(79664,79670) = 3173415440