What is the Least Common Multiple of 85816 and 85833?

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 85816 and 85833 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85816 and 85833, than apply into the LCM equation.

GCF(85816,85833) = 17
LCM(85816,85833) = ( 85816 × 85833) / 17
LCM(85816,85833) = 7365844728 / 17
LCM(85816,85833) = 433284984

Least Common Multiple (LCM) of 85816 and 85833 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85816 and 85833. First we will calculate the prime factors of 85816 and 85833.

Prime Factorization of 85816

Prime Factorization of 85833

Now multiplying the highest exponent prime factors to calculate the LCM of 85816 and 85833.

LCM(85816,85833) = 2³ × 17² × 631¹ × 3³ × 11¹
LCM(85816,85833) = 433284984