What is the Least Common Multiple of 85032 and 85041?

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 85032 and 85041 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85032 and 85041, than apply into the LCM equation.

GCF(85032,85041) = 9
LCM(85032,85041) = ( 85032 × 85041) / 9
LCM(85032,85041) = 7231206312 / 9
LCM(85032,85041) = 803467368

Least Common Multiple (LCM) of 85032 and 85041 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85032 and 85041. First we will calculate the prime factors of 85032 and 85041.

Prime Factorization of 85032

Prime Factorization of 85041

Now multiplying the highest exponent prime factors to calculate the LCM of 85032 and 85041.

LCM(85032,85041) = 2³ × 3² × 1181¹ × 11¹ × 859¹
LCM(85032,85041) = 803467368