What is the Least Common Multiple of 35160 and 35166?

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 35160 and 35166 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35160 and 35166, than apply into the LCM equation.

GCF(35160,35166) = 6
LCM(35160,35166) = ( 35160 × 35166) / 6
LCM(35160,35166) = 1236436560 / 6
LCM(35160,35166) = 206072760

Least Common Multiple (LCM) of 35160 and 35166 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35160 and 35166. First we will calculate the prime factors of 35160 and 35166.

Prime Factorization of 35160

Prime Factorization of 35166

Now multiplying the highest exponent prime factors to calculate the LCM of 35160 and 35166.

LCM(35160,35166) = 2³ × 3¹ × 5¹ × 293¹ × 5861¹
LCM(35160,35166) = 206072760