What is the Least Common Multiple of 70146 and 70161?

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 70161 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 70161, than apply into the LCM equation.

GCF(70146,70161) = 3
LCM(70146,70161) = ( 70146 × 70161) / 3
LCM(70146,70161) = 4921513506 / 3
LCM(70146,70161) = 1640504502

Least Common Multiple (LCM) of 70146 and 70161 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70146 and 70161. First we will calculate the prime factors of 70146 and 70161.

Prime Factorization of 70146

Prime Factorization of 70161

Now multiplying the highest exponent prime factors to calculate the LCM of 70146 and 70161.

LCM(70146,70161) = 2¹ × 3⁴ × 433¹ × 7¹ × 13¹ × 257¹
LCM(70146,70161) = 1640504502