What is the Least Common Multiple of 79984 and 79994?

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 79984 and 79994 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79984 and 79994, than apply into the LCM equation.

GCF(79984,79994) = 2
LCM(79984,79994) = ( 79984 × 79994) / 2
LCM(79984,79994) = 6398240096 / 2
LCM(79984,79994) = 3199120048

Least Common Multiple (LCM) of 79984 and 79994 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79984 and 79994. First we will calculate the prime factors of 79984 and 79994.

Prime Factorization of 79984

Prime Factorization of 79994

Now multiplying the highest exponent prime factors to calculate the LCM of 79984 and 79994.

LCM(79984,79994) = 2⁴ × 4999¹ × 23¹ × 37¹ × 47¹
LCM(79984,79994) = 3199120048