What is the Least Common Multiple of 35146 and 35160?

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 35146 and 35160 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35146 and 35160, than apply into the LCM equation.

GCF(35146,35160) = 2
LCM(35146,35160) = ( 35146 × 35160) / 2
LCM(35146,35160) = 1235733360 / 2
LCM(35146,35160) = 617866680

Least Common Multiple (LCM) of 35146 and 35160 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35146 and 35160. First we will calculate the prime factors of 35146 and 35160.

Prime Factorization of 35146

Prime Factorization of 35160

Now multiplying the highest exponent prime factors to calculate the LCM of 35146 and 35160.

LCM(35146,35160) = 2³ × 17573¹ × 3¹ × 5¹ × 293¹
LCM(35146,35160) = 617866680