What is the Least Common Multiple of 80968 and 80972?

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 80968 and 80972 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80968 and 80972, than apply into the LCM equation.

GCF(80968,80972) = 4
LCM(80968,80972) = ( 80968 × 80972) / 4
LCM(80968,80972) = 6556140896 / 4
LCM(80968,80972) = 1639035224

Least Common Multiple (LCM) of 80968 and 80972 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80968 and 80972. First we will calculate the prime factors of 80968 and 80972.

Prime Factorization of 80968

Prime Factorization of 80972

Now multiplying the highest exponent prime factors to calculate the LCM of 80968 and 80972.

LCM(80968,80972) = 2³ × 29¹ × 349¹ × 31¹ × 653¹
LCM(80968,80972) = 1639035224