What is the Least Common Multiple of 95698 and 95713?

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 95698 and 95713 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95698 and 95713, than apply into the LCM equation.

GCF(95698,95713) = 1
LCM(95698,95713) = ( 95698 × 95713) / 1
LCM(95698,95713) = 9159542674 / 1
LCM(95698,95713) = 9159542674

Least Common Multiple (LCM) of 95698 and 95713 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95698 and 95713. First we will calculate the prime factors of 95698 and 95713.

Prime Factorization of 95698

Prime Factorization of 95713

Now multiplying the highest exponent prime factors to calculate the LCM of 95698 and 95713.

LCM(95698,95713) = 2¹ × 59¹ × 811¹ × 95713¹
LCM(95698,95713) = 9159542674