What is the Least Common Multiple of 85332 and 85341?

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 85332 and 85341 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85332 and 85341, than apply into the LCM equation.

GCF(85332,85341) = 3
LCM(85332,85341) = ( 85332 × 85341) / 3
LCM(85332,85341) = 7282318212 / 3
LCM(85332,85341) = 2427439404

Least Common Multiple (LCM) of 85332 and 85341 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85332 and 85341. First we will calculate the prime factors of 85332 and 85341.

Prime Factorization of 85332

Prime Factorization of 85341

Now multiplying the highest exponent prime factors to calculate the LCM of 85332 and 85341.

LCM(85332,85341) = 2² × 3¹ × 13¹ × 547¹ × 28447¹
LCM(85332,85341) = 2427439404