What is the Least Common Multiple of 79740 and 79759?

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 79759 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 79759, than apply into the LCM equation.

GCF(79740,79759) = 1
LCM(79740,79759) = ( 79740 × 79759) / 1
LCM(79740,79759) = 6359982660 / 1
LCM(79740,79759) = 6359982660

Least Common Multiple (LCM) of 79740 and 79759 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79740 and 79759. First we will calculate the prime factors of 79740 and 79759.

Prime Factorization of 79740

Prime Factorization of 79759

Now multiplying the highest exponent prime factors to calculate the LCM of 79740 and 79759.

LCM(79740,79759) = 2² × 3² × 5¹ × 443¹ × 47¹ × 1697¹
LCM(79740,79759) = 6359982660