What is the Least Common Multiple of 79096 and 79100?

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 79096 and 79100 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79096 and 79100, than apply into the LCM equation.

GCF(79096,79100) = 4
LCM(79096,79100) = ( 79096 × 79100) / 4
LCM(79096,79100) = 6256493600 / 4
LCM(79096,79100) = 1564123400

Least Common Multiple (LCM) of 79096 and 79100 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79096 and 79100. First we will calculate the prime factors of 79096 and 79100.

Prime Factorization of 79096

Prime Factorization of 79100

Now multiplying the highest exponent prime factors to calculate the LCM of 79096 and 79100.

LCM(79096,79100) = 2³ × 9887¹ × 5² × 7¹ × 113¹
LCM(79096,79100) = 1564123400