What is the Least Common Multiple of 80970 and 80978?

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 80970 and 80978 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80970 and 80978, than apply into the LCM equation.

GCF(80970,80978) = 2
LCM(80970,80978) = ( 80970 × 80978) / 2
LCM(80970,80978) = 6556788660 / 2
LCM(80970,80978) = 3278394330

Least Common Multiple (LCM) of 80970 and 80978 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80970 and 80978. First we will calculate the prime factors of 80970 and 80978.

Prime Factorization of 80970

Prime Factorization of 80978

Now multiplying the highest exponent prime factors to calculate the LCM of 80970 and 80978.

LCM(80970,80978) = 2¹ × 3¹ × 5¹ × 2699¹ × 19¹ × 2131¹
LCM(80970,80978) = 3278394330