What is the Least Common Multiple of 79050 and 79066?

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 79050 and 79066 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79050 and 79066, than apply into the LCM equation.

GCF(79050,79066) = 2
LCM(79050,79066) = ( 79050 × 79066) / 2
LCM(79050,79066) = 6250167300 / 2
LCM(79050,79066) = 3125083650

Least Common Multiple (LCM) of 79050 and 79066 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79050 and 79066. First we will calculate the prime factors of 79050 and 79066.

Prime Factorization of 79050

Prime Factorization of 79066

Now multiplying the highest exponent prime factors to calculate the LCM of 79050 and 79066.

LCM(79050,79066) = 2¹ × 3¹ × 5² × 17¹ × 31¹ × 13¹ × 3041¹
LCM(79050,79066) = 3125083650