What is the Least Common Multiple of 80988 and 80998?

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 80988 and 80998 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80988 and 80998, than apply into the LCM equation.

GCF(80988,80998) = 2
LCM(80988,80998) = ( 80988 × 80998) / 2
LCM(80988,80998) = 6559866024 / 2
LCM(80988,80998) = 3279933012

Least Common Multiple (LCM) of 80988 and 80998 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80988 and 80998. First we will calculate the prime factors of 80988 and 80998.

Prime Factorization of 80988

Prime Factorization of 80998

Now multiplying the highest exponent prime factors to calculate the LCM of 80988 and 80998.

LCM(80988,80998) = 2² × 3¹ × 17¹ × 397¹ × 40499¹
LCM(80988,80998) = 3279933012