What is the Least Common Multiple of 79740 and 79749?

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 79749 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 79749, than apply into the LCM equation.

GCF(79740,79749) = 9
LCM(79740,79749) = ( 79740 × 79749) / 9
LCM(79740,79749) = 6359185260 / 9
LCM(79740,79749) = 706576140

Least Common Multiple (LCM) of 79740 and 79749 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79740 and 79749. First we will calculate the prime factors of 79740 and 79749.

Prime Factorization of 79740

Prime Factorization of 79749

Now multiplying the highest exponent prime factors to calculate the LCM of 79740 and 79749.

LCM(79740,79749) = 2² × 3² × 5¹ × 443¹ × 8861¹
LCM(79740,79749) = 706576140