What is the Least Common Multiple of 95685 and 95702?

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 95702 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 95702, than apply into the LCM equation.

GCF(95685,95702) = 1
LCM(95685,95702) = ( 95685 × 95702) / 1
LCM(95685,95702) = 9157245870 / 1
LCM(95685,95702) = 9157245870

Least Common Multiple (LCM) of 95685 and 95702 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95685 and 95702. First we will calculate the prime factors of 95685 and 95702.

Prime Factorization of 95685

Prime Factorization of 95702

Now multiplying the highest exponent prime factors to calculate the LCM of 95685 and 95702.

LCM(95685,95702) = 3¹ × 5¹ × 6379¹ × 2¹ × 109¹ × 439¹
LCM(95685,95702) = 9157245870