What is the Least Common Multiple of 95893 and 95907?

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 95893 and 95907 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95893 and 95907, than apply into the LCM equation.

GCF(95893,95907) = 7
LCM(95893,95907) = ( 95893 × 95907) / 7
LCM(95893,95907) = 9196809951 / 7
LCM(95893,95907) = 1313829993

Least Common Multiple (LCM) of 95893 and 95907 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95893 and 95907. First we will calculate the prime factors of 95893 and 95907.

Prime Factorization of 95893

Prime Factorization of 95907

Now multiplying the highest exponent prime factors to calculate the LCM of 95893 and 95907.

LCM(95893,95907) = 7² × 19¹ × 103¹ × 3¹ × 4567¹
LCM(95893,95907) = 1313829993