What is the Least Common Multiple of 85048 and 85066?

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 85048 and 85066 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85048 and 85066, than apply into the LCM equation.

GCF(85048,85066) = 2
LCM(85048,85066) = ( 85048 × 85066) / 2
LCM(85048,85066) = 7234693168 / 2
LCM(85048,85066) = 3617346584

Least Common Multiple (LCM) of 85048 and 85066 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85048 and 85066. First we will calculate the prime factors of 85048 and 85066.

Prime Factorization of 85048

Prime Factorization of 85066

Now multiplying the highest exponent prime factors to calculate the LCM of 85048 and 85066.

LCM(85048,85066) = 2³ × 10631¹ × 42533¹
LCM(85048,85066) = 3617346584