What is the Least Common Multiple of 70113 and 70132?

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 70113 and 70132 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70113 and 70132, than apply into the LCM equation.

GCF(70113,70132) = 1
LCM(70113,70132) = ( 70113 × 70132) / 1
LCM(70113,70132) = 4917164916 / 1
LCM(70113,70132) = 4917164916

Least Common Multiple (LCM) of 70113 and 70132 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70113 and 70132. First we will calculate the prime factors of 70113 and 70132.

Prime Factorization of 70113

Prime Factorization of 70132

Now multiplying the highest exponent prime factors to calculate the LCM of 70113 and 70132.

LCM(70113,70132) = 3¹ × 23371¹ × 2² × 89¹ × 197¹
LCM(70113,70132) = 4917164916