What is the Least Common Multiple of 95685 and 95705?

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 95685 and 95705 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95685 and 95705, than apply into the LCM equation.

GCF(95685,95705) = 5
LCM(95685,95705) = ( 95685 × 95705) / 5
LCM(95685,95705) = 9157532925 / 5
LCM(95685,95705) = 1831506585

Least Common Multiple (LCM) of 95685 and 95705 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95685 and 95705. First we will calculate the prime factors of 95685 and 95705.

Prime Factorization of 95685

Prime Factorization of 95705

Now multiplying the highest exponent prime factors to calculate the LCM of 95685 and 95705.

LCM(95685,95705) = 3¹ × 5¹ × 6379¹ × 19141¹
LCM(95685,95705) = 1831506585