What is the Least Common Multiple of 95060 and 95077?

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 95060 and 95077 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95060 and 95077, than apply into the LCM equation.

GCF(95060,95077) = 1
LCM(95060,95077) = ( 95060 × 95077) / 1
LCM(95060,95077) = 9038019620 / 1
LCM(95060,95077) = 9038019620

Least Common Multiple (LCM) of 95060 and 95077 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95060 and 95077. First we will calculate the prime factors of 95060 and 95077.

Prime Factorization of 95060

Prime Factorization of 95077

Now multiplying the highest exponent prime factors to calculate the LCM of 95060 and 95077.

LCM(95060,95077) = 2² × 5¹ × 7² × 97¹ × 31¹ × 3067¹
LCM(95060,95077) = 9038019620