What is the Least Common Multiple of 85626 and 85642?

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 85626 and 85642 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85626 and 85642, than apply into the LCM equation.

GCF(85626,85642) = 2
LCM(85626,85642) = ( 85626 × 85642) / 2
LCM(85626,85642) = 7333181892 / 2
LCM(85626,85642) = 3666590946

Least Common Multiple (LCM) of 85626 and 85642 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85626 and 85642. First we will calculate the prime factors of 85626 and 85642.

Prime Factorization of 85626

Prime Factorization of 85642

Now multiplying the highest exponent prime factors to calculate the LCM of 85626 and 85642.

LCM(85626,85642) = 2¹ × 3² × 67¹ × 71¹ × 42821¹
LCM(85626,85642) = 3666590946