What is the Least Common Multiple of 70148 and 70165?

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 70148 and 70165 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70148 and 70165, than apply into the LCM equation.

GCF(70148,70165) = 1
LCM(70148,70165) = ( 70148 × 70165) / 1
LCM(70148,70165) = 4921934420 / 1
LCM(70148,70165) = 4921934420

Least Common Multiple (LCM) of 70148 and 70165 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70148 and 70165. First we will calculate the prime factors of 70148 and 70165.

Prime Factorization of 70148

Prime Factorization of 70165

Now multiplying the highest exponent prime factors to calculate the LCM of 70148 and 70165.

LCM(70148,70165) = 2² × 13¹ × 19¹ × 71¹ × 5¹ × 14033¹
LCM(70148,70165) = 4921934420