What is the Least Common Multiple of 85154 and 85170?

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 85154 and 85170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85154 and 85170, than apply into the LCM equation.

GCF(85154,85170) = 2
LCM(85154,85170) = ( 85154 × 85170) / 2
LCM(85154,85170) = 7252566180 / 2
LCM(85154,85170) = 3626283090

Least Common Multiple (LCM) of 85154 and 85170 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85154 and 85170. First we will calculate the prime factors of 85154 and 85170.

Prime Factorization of 85154

Prime Factorization of 85170

Now multiplying the highest exponent prime factors to calculate the LCM of 85154 and 85170.

LCM(85154,85170) = 2¹ × 42577¹ × 3¹ × 5¹ × 17¹ × 167¹
LCM(85154,85170) = 3626283090