What is the Least Common Multiple of 70146 and 70154?

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 70146 and 70154 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70146 and 70154, than apply into the LCM equation.

GCF(70146,70154) = 2
LCM(70146,70154) = ( 70146 × 70154) / 2
LCM(70146,70154) = 4921022484 / 2
LCM(70146,70154) = 2460511242

Least Common Multiple (LCM) of 70146 and 70154 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70146 and 70154. First we will calculate the prime factors of 70146 and 70154.

Prime Factorization of 70146

Prime Factorization of 70154

Now multiplying the highest exponent prime factors to calculate the LCM of 70146 and 70154.

LCM(70146,70154) = 2¹ × 3⁴ × 433¹ × 7¹ × 5011¹
LCM(70146,70154) = 2460511242