What is the Least Common Multiple of 85616 and 85634?

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 85616 and 85634 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85616 and 85634, than apply into the LCM equation.

GCF(85616,85634) = 2
LCM(85616,85634) = ( 85616 × 85634) / 2
LCM(85616,85634) = 7331640544 / 2
LCM(85616,85634) = 3665820272

Least Common Multiple (LCM) of 85616 and 85634 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85616 and 85634. First we will calculate the prime factors of 85616 and 85634.

Prime Factorization of 85616

Prime Factorization of 85634

Now multiplying the highest exponent prime factors to calculate the LCM of 85616 and 85634.

LCM(85616,85634) = 2⁴ × 5351¹ × 47¹ × 911¹
LCM(85616,85634) = 3665820272