What is the Least Common Multiple of 95249 and 95253?

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 95249 and 95253 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95249 and 95253, than apply into the LCM equation.

GCF(95249,95253) = 1
LCM(95249,95253) = ( 95249 × 95253) / 1
LCM(95249,95253) = 9072752997 / 1
LCM(95249,95253) = 9072752997

Least Common Multiple (LCM) of 95249 and 95253 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95249 and 95253. First we will calculate the prime factors of 95249 and 95253.

Prime Factorization of 95249

Prime Factorization of 95253

Now multiplying the highest exponent prime factors to calculate the LCM of 95249 and 95253.

LCM(95249,95253) = 7¹ × 11¹ × 1237¹ × 3¹ × 31751¹
LCM(95249,95253) = 9072752997