What is the Least Common Multiple of 85628 and 85638?

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 85628 and 85638 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85628 and 85638, than apply into the LCM equation.

GCF(85628,85638) = 2
LCM(85628,85638) = ( 85628 × 85638) / 2
LCM(85628,85638) = 7333010664 / 2
LCM(85628,85638) = 3666505332

Least Common Multiple (LCM) of 85628 and 85638 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85628 and 85638. First we will calculate the prime factors of 85628 and 85638.

Prime Factorization of 85628

Prime Factorization of 85638

Now multiplying the highest exponent prime factors to calculate the LCM of 85628 and 85638.

LCM(85628,85638) = 2² × 21407¹ × 3¹ × 7¹ × 2039¹
LCM(85628,85638) = 3666505332