What is the Least Common Multiple of 70074 and 70088?

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 70074 and 70088 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70074 and 70088, than apply into the LCM equation.

GCF(70074,70088) = 2
LCM(70074,70088) = ( 70074 × 70088) / 2
LCM(70074,70088) = 4911346512 / 2
LCM(70074,70088) = 2455673256

Least Common Multiple (LCM) of 70074 and 70088 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70074 and 70088. First we will calculate the prime factors of 70074 and 70088.

Prime Factorization of 70074

Prime Factorization of 70088

Now multiplying the highest exponent prime factors to calculate the LCM of 70074 and 70088.

LCM(70074,70088) = 2³ × 3² × 17¹ × 229¹ × 8761¹
LCM(70074,70088) = 2455673256