What is the Least Common Multiple of 79984 and 79990?

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 79990 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 79990, than apply into the LCM equation.

GCF(79984,79990) = 2
LCM(79984,79990) = ( 79984 × 79990) / 2
LCM(79984,79990) = 6397920160 / 2
LCM(79984,79990) = 3198960080

Least Common Multiple (LCM) of 79984 and 79990 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79984 and 79990. First we will calculate the prime factors of 79984 and 79990.

Prime Factorization of 79984

Prime Factorization of 79990

Now multiplying the highest exponent prime factors to calculate the LCM of 79984 and 79990.

LCM(79984,79990) = 2⁴ × 4999¹ × 5¹ × 19¹ × 421¹
LCM(79984,79990) = 3198960080