What is the Least Common Multiple of 85698 and 85707?

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 85698 and 85707 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85698 and 85707, than apply into the LCM equation.

GCF(85698,85707) = 9
LCM(85698,85707) = ( 85698 × 85707) / 9
LCM(85698,85707) = 7344918486 / 9
LCM(85698,85707) = 816102054

Least Common Multiple (LCM) of 85698 and 85707 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85698 and 85707. First we will calculate the prime factors of 85698 and 85707.

Prime Factorization of 85698

Prime Factorization of 85707

Now multiplying the highest exponent prime factors to calculate the LCM of 85698 and 85707.

LCM(85698,85707) = 2¹ × 3⁴ × 23² × 89¹ × 107¹
LCM(85698,85707) = 816102054