What is the Least Common Multiple of 95777 and 95789?

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 95777 and 95789 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95777 and 95789, than apply into the LCM equation.

GCF(95777,95789) = 1
LCM(95777,95789) = ( 95777 × 95789) / 1
LCM(95777,95789) = 9174383053 / 1
LCM(95777,95789) = 9174383053

Least Common Multiple (LCM) of 95777 and 95789 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95777 and 95789. First we will calculate the prime factors of 95777 and 95789.

Prime Factorization of 95777

Prime Factorization of 95789

Now multiplying the highest exponent prime factors to calculate the LCM of 95777 and 95789.

LCM(95777,95789) = 11¹ × 8707¹ × 95789¹
LCM(95777,95789) = 9174383053