What is the Least Common Multiple of 70360 and 70366?

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 70360 and 70366 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70360 and 70366, than apply into the LCM equation.

GCF(70360,70366) = 2
LCM(70360,70366) = ( 70360 × 70366) / 2
LCM(70360,70366) = 4950951760 / 2
LCM(70360,70366) = 2475475880

Least Common Multiple (LCM) of 70360 and 70366 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70360 and 70366. First we will calculate the prime factors of 70360 and 70366.

Prime Factorization of 70360

Prime Factorization of 70366

Now multiplying the highest exponent prime factors to calculate the LCM of 70360 and 70366.

LCM(70360,70366) = 2³ × 5¹ × 1759¹ × 151¹ × 233¹
LCM(70360,70366) = 2475475880