What is the Least Common Multiple of 95254 and 95262?

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 95254 and 95262 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95254 and 95262, than apply into the LCM equation.

GCF(95254,95262) = 2
LCM(95254,95262) = ( 95254 × 95262) / 2
LCM(95254,95262) = 9074086548 / 2
LCM(95254,95262) = 4537043274

Least Common Multiple (LCM) of 95254 and 95262 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95254 and 95262. First we will calculate the prime factors of 95254 and 95262.

Prime Factorization of 95254

Prime Factorization of 95262

Now multiplying the highest exponent prime factors to calculate the LCM of 95254 and 95262.

LCM(95254,95262) = 2¹ × 97¹ × 491¹ × 3¹ × 15877¹
LCM(95254,95262) = 4537043274