What is the Least Common Multiple of 4160 and 4170?

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 4160 and 4170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4160 and 4170, than apply into the LCM equation.

GCF(4160,4170) = 10
LCM(4160,4170) = ( 4160 × 4170) / 10
LCM(4160,4170) = 17347200 / 10
LCM(4160,4170) = 1734720

Least Common Multiple (LCM) of 4160 and 4170 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4160 and 4170. First we will calculate the prime factors of 4160 and 4170.

Prime Factorization of 4160

Prime Factorization of 4170

Now multiplying the highest exponent prime factors to calculate the LCM of 4160 and 4170.

LCM(4160,4170) = 2⁶ × 5¹ × 13¹ × 3¹ × 139¹
LCM(4160,4170) = 1734720