What is the Least Common Multiple of 79350 and 79356?

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 79350 and 79356 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79350 and 79356, than apply into the LCM equation.

GCF(79350,79356) = 6
LCM(79350,79356) = ( 79350 × 79356) / 6
LCM(79350,79356) = 6296898600 / 6
LCM(79350,79356) = 1049483100

Least Common Multiple (LCM) of 79350 and 79356 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79350 and 79356. First we will calculate the prime factors of 79350 and 79356.

Prime Factorization of 79350

Prime Factorization of 79356

Now multiplying the highest exponent prime factors to calculate the LCM of 79350 and 79356.

LCM(79350,79356) = 2² × 3¹ × 5² × 23² × 17¹ × 389¹
LCM(79350,79356) = 1049483100