What is the Least Common Multiple of 70740 and 70750?

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 70740 and 70750 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70740 and 70750, than apply into the LCM equation.

GCF(70740,70750) = 10
LCM(70740,70750) = ( 70740 × 70750) / 10
LCM(70740,70750) = 5004855000 / 10
LCM(70740,70750) = 500485500

Least Common Multiple (LCM) of 70740 and 70750 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70740 and 70750. First we will calculate the prime factors of 70740 and 70750.

Prime Factorization of 70740

Prime Factorization of 70750

Now multiplying the highest exponent prime factors to calculate the LCM of 70740 and 70750.

LCM(70740,70750) = 2² × 3³ × 5³ × 131¹ × 283¹
LCM(70740,70750) = 500485500