What is the Least Common Multiple of 70392 and 70410?

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 70392 and 70410 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70392 and 70410, than apply into the LCM equation.

GCF(70392,70410) = 6
LCM(70392,70410) = ( 70392 × 70410) / 6
LCM(70392,70410) = 4956300720 / 6
LCM(70392,70410) = 826050120

Least Common Multiple (LCM) of 70392 and 70410 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70392 and 70410. First we will calculate the prime factors of 70392 and 70410.

Prime Factorization of 70392

Prime Factorization of 70410

Now multiplying the highest exponent prime factors to calculate the LCM of 70392 and 70410.

LCM(70392,70410) = 2³ × 3¹ × 7¹ × 419¹ × 5¹ × 2347¹
LCM(70392,70410) = 826050120