What is the Least Common Multiple of 95758 and 95777?

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 95758 and 95777 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95758 and 95777, than apply into the LCM equation.

GCF(95758,95777) = 1
LCM(95758,95777) = ( 95758 × 95777) / 1
LCM(95758,95777) = 9171413966 / 1
LCM(95758,95777) = 9171413966

Least Common Multiple (LCM) of 95758 and 95777 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95758 and 95777. First we will calculate the prime factors of 95758 and 95777.

Prime Factorization of 95758

Prime Factorization of 95777

Now multiplying the highest exponent prime factors to calculate the LCM of 95758 and 95777.

LCM(95758,95777) = 2¹ × 13¹ × 29¹ × 127¹ × 11¹ × 8707¹
LCM(95758,95777) = 9171413966