What is the Least Common Multiple of 70824 and 70832?

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 70824 and 70832 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70824 and 70832, than apply into the LCM equation.

GCF(70824,70832) = 8
LCM(70824,70832) = ( 70824 × 70832) / 8
LCM(70824,70832) = 5016605568 / 8
LCM(70824,70832) = 627075696

Least Common Multiple (LCM) of 70824 and 70832 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70824 and 70832. First we will calculate the prime factors of 70824 and 70832.

Prime Factorization of 70824

Prime Factorization of 70832

Now multiplying the highest exponent prime factors to calculate the LCM of 70824 and 70832.

LCM(70824,70832) = 2⁴ × 3¹ × 13¹ × 227¹ × 19¹ × 233¹
LCM(70824,70832) = 627075696