What is the Least Common Multiple of 79974 and 79984?

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 79974 and 79984 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79974 and 79984, than apply into the LCM equation.

GCF(79974,79984) = 2
LCM(79974,79984) = ( 79974 × 79984) / 2
LCM(79974,79984) = 6396640416 / 2
LCM(79974,79984) = 3198320208

Least Common Multiple (LCM) of 79974 and 79984 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79974 and 79984. First we will calculate the prime factors of 79974 and 79984.

Prime Factorization of 79974

Prime Factorization of 79984

Now multiplying the highest exponent prime factors to calculate the LCM of 79974 and 79984.

LCM(79974,79984) = 2⁴ × 3³ × 1481¹ × 4999¹
LCM(79974,79984) = 3198320208