What is the Least Common Multiple of 80940 and 80956?

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 80940 and 80956 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80940 and 80956, than apply into the LCM equation.

GCF(80940,80956) = 4
LCM(80940,80956) = ( 80940 × 80956) / 4
LCM(80940,80956) = 6552578640 / 4
LCM(80940,80956) = 1638144660

Least Common Multiple (LCM) of 80940 and 80956 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80940 and 80956. First we will calculate the prime factors of 80940 and 80956.

Prime Factorization of 80940

Prime Factorization of 80956

Now multiplying the highest exponent prime factors to calculate the LCM of 80940 and 80956.

LCM(80940,80956) = 2² × 3¹ × 5¹ × 19¹ × 71¹ × 37¹ × 547¹
LCM(80940,80956) = 1638144660