What is the Least Common Multiple of 95744 and 95749?

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 95744 and 95749 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95744 and 95749, than apply into the LCM equation.

GCF(95744,95749) = 1
LCM(95744,95749) = ( 95744 × 95749) / 1
LCM(95744,95749) = 9167392256 / 1
LCM(95744,95749) = 9167392256

Least Common Multiple (LCM) of 95744 and 95749 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95744 and 95749. First we will calculate the prime factors of 95744 and 95749.

Prime Factorization of 95744

Prime Factorization of 95749

Now multiplying the highest exponent prime factors to calculate the LCM of 95744 and 95749.

LCM(95744,95749) = 2⁹ × 11¹ × 17¹ × 23² × 181¹
LCM(95744,95749) = 9167392256