What is the Least Common Multiple of 72980 and 72998?

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 72980 and 72998 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72980 and 72998, than apply into the LCM equation.

GCF(72980,72998) = 2
LCM(72980,72998) = ( 72980 × 72998) / 2
LCM(72980,72998) = 5327394040 / 2
LCM(72980,72998) = 2663697020

Least Common Multiple (LCM) of 72980 and 72998 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72980 and 72998. First we will calculate the prime factors of 72980 and 72998.

Prime Factorization of 72980

Prime Factorization of 72998

Now multiplying the highest exponent prime factors to calculate the LCM of 72980 and 72998.

LCM(72980,72998) = 2² × 5¹ × 41¹ × 89¹ × 17¹ × 19¹ × 113¹
LCM(72980,72998) = 2663697020