What is the Least Common Multiple of 95691 and 95703?

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 95691 and 95703 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95691 and 95703, than apply into the LCM equation.

GCF(95691,95703) = 3
LCM(95691,95703) = ( 95691 × 95703) / 3
LCM(95691,95703) = 9157915773 / 3
LCM(95691,95703) = 3052638591

Least Common Multiple (LCM) of 95691 and 95703 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95691 and 95703. First we will calculate the prime factors of 95691 and 95703.

Prime Factorization of 95691

Prime Factorization of 95703

Now multiplying the highest exponent prime factors to calculate the LCM of 95691 and 95703.

LCM(95691,95703) = 3¹ × 167¹ × 191¹ × 19¹ × 23¹ × 73¹
LCM(95691,95703) = 3052638591