What is the Least Common Multiple of 35160 and 35170?

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 35170 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 35170, than apply into the LCM equation.

GCF(35160,35170) = 10
LCM(35160,35170) = ( 35160 × 35170) / 10
LCM(35160,35170) = 1236577200 / 10
LCM(35160,35170) = 123657720

Least Common Multiple (LCM) of 35160 and 35170 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35160 and 35170. First we will calculate the prime factors of 35160 and 35170.

Prime Factorization of 35160

Prime Factorization of 35170

Now multiplying the highest exponent prime factors to calculate the LCM of 35160 and 35170.

LCM(35160,35170) = 2³ × 3¹ × 5¹ × 293¹ × 3517¹
LCM(35160,35170) = 123657720