What is the Least Common Multiple of 95749 and 95762?

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 95749 and 95762 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95749 and 95762, than apply into the LCM equation.

GCF(95749,95762) = 1
LCM(95749,95762) = ( 95749 × 95762) / 1
LCM(95749,95762) = 9169115738 / 1
LCM(95749,95762) = 9169115738

Least Common Multiple (LCM) of 95749 and 95762 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95749 and 95762. First we will calculate the prime factors of 95749 and 95762.

Prime Factorization of 95749

Prime Factorization of 95762

Now multiplying the highest exponent prime factors to calculate the LCM of 95749 and 95762.

LCM(95749,95762) = 23² × 181¹ × 2¹ × 47881¹
LCM(95749,95762) = 9169115738