What is the Least Common Multiple of 70312 and 70332?

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 70312 and 70332 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70312 and 70332, than apply into the LCM equation.

GCF(70312,70332) = 4
LCM(70312,70332) = ( 70312 × 70332) / 4
LCM(70312,70332) = 4945183584 / 4
LCM(70312,70332) = 1236295896

Least Common Multiple (LCM) of 70312 and 70332 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70312 and 70332. First we will calculate the prime factors of 70312 and 70332.

Prime Factorization of 70312

Prime Factorization of 70332

Now multiplying the highest exponent prime factors to calculate the LCM of 70312 and 70332.

LCM(70312,70332) = 2³ × 11¹ × 17¹ × 47¹ × 3¹ × 5861¹
LCM(70312,70332) = 1236295896