What is the Least Common Multiple of 79404 and 79420?

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 79404 and 79420 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79404 and 79420, than apply into the LCM equation.

GCF(79404,79420) = 4
LCM(79404,79420) = ( 79404 × 79420) / 4
LCM(79404,79420) = 6306265680 / 4
LCM(79404,79420) = 1576566420

Least Common Multiple (LCM) of 79404 and 79420 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79404 and 79420. First we will calculate the prime factors of 79404 and 79420.

Prime Factorization of 79404

Prime Factorization of 79420

Now multiplying the highest exponent prime factors to calculate the LCM of 79404 and 79420.

LCM(79404,79420) = 2² × 3¹ × 13¹ × 509¹ × 5¹ × 11¹ × 19²
LCM(79404,79420) = 1576566420