What is the Least Common Multiple of 79740 and 79760?

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 79740 and 79760 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79740 and 79760, than apply into the LCM equation.

GCF(79740,79760) = 20
LCM(79740,79760) = ( 79740 × 79760) / 20
LCM(79740,79760) = 6360062400 / 20
LCM(79740,79760) = 318003120

Least Common Multiple (LCM) of 79740 and 79760 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79740 and 79760. First we will calculate the prime factors of 79740 and 79760.

Prime Factorization of 79740

Prime Factorization of 79760

Now multiplying the highest exponent prime factors to calculate the LCM of 79740 and 79760.

LCM(79740,79760) = 2⁴ × 3² × 5¹ × 443¹ × 997¹
LCM(79740,79760) = 318003120