What is the Least Common Multiple of 80716 and 80733?

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 80716 and 80733 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80716 and 80733, than apply into the LCM equation.

GCF(80716,80733) = 17
LCM(80716,80733) = ( 80716 × 80733) / 17
LCM(80716,80733) = 6516444828 / 17
LCM(80716,80733) = 383320284

Least Common Multiple (LCM) of 80716 and 80733 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80716 and 80733. First we will calculate the prime factors of 80716 and 80733.

Prime Factorization of 80716

Prime Factorization of 80733

Now multiplying the highest exponent prime factors to calculate the LCM of 80716 and 80733.

LCM(80716,80733) = 2² × 17¹ × 1187¹ × 3¹ × 1583¹
LCM(80716,80733) = 383320284