What is the Least Common Multiple of 91670 and 91688?

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 91670 and 91688 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91670 and 91688, than apply into the LCM equation.

GCF(91670,91688) = 2
LCM(91670,91688) = ( 91670 × 91688) / 2
LCM(91670,91688) = 8405038960 / 2
LCM(91670,91688) = 4202519480

Least Common Multiple (LCM) of 91670 and 91688 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91670 and 91688. First we will calculate the prime factors of 91670 and 91688.

Prime Factorization of 91670

Prime Factorization of 91688

Now multiplying the highest exponent prime factors to calculate the LCM of 91670 and 91688.

LCM(91670,91688) = 2³ × 5¹ × 89¹ × 103¹ × 73¹ × 157¹
LCM(91670,91688) = 4202519480