What is the Least Common Multiple of 80940 and 80954?

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 80954 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 80954, than apply into the LCM equation.

GCF(80940,80954) = 2
LCM(80940,80954) = ( 80940 × 80954) / 2
LCM(80940,80954) = 6552416760 / 2
LCM(80940,80954) = 3276208380

Least Common Multiple (LCM) of 80940 and 80954 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80940 and 80954. First we will calculate the prime factors of 80940 and 80954.

Prime Factorization of 80940

Prime Factorization of 80954

Now multiplying the highest exponent prime factors to calculate the LCM of 80940 and 80954.

LCM(80940,80954) = 2² × 3¹ × 5¹ × 19¹ × 71¹ × 17¹ × 2381¹
LCM(80940,80954) = 3276208380