What is the Least Common Multiple of 80972 and 80980?

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 80972 and 80980 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80972 and 80980, than apply into the LCM equation.

GCF(80972,80980) = 4
LCM(80972,80980) = ( 80972 × 80980) / 4
LCM(80972,80980) = 6557112560 / 4
LCM(80972,80980) = 1639278140

Least Common Multiple (LCM) of 80972 and 80980 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80972 and 80980. First we will calculate the prime factors of 80972 and 80980.

Prime Factorization of 80972

Prime Factorization of 80980

Now multiplying the highest exponent prime factors to calculate the LCM of 80972 and 80980.

LCM(80972,80980) = 2² × 31¹ × 653¹ × 5¹ × 4049¹
LCM(80972,80980) = 1639278140