What is the Least Common Multiple of 95730 and 95744?

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 95730 and 95744 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95730 and 95744, than apply into the LCM equation.

GCF(95730,95744) = 2
LCM(95730,95744) = ( 95730 × 95744) / 2
LCM(95730,95744) = 9165573120 / 2
LCM(95730,95744) = 4582786560

Least Common Multiple (LCM) of 95730 and 95744 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95730 and 95744. First we will calculate the prime factors of 95730 and 95744.

Prime Factorization of 95730

Prime Factorization of 95744

Now multiplying the highest exponent prime factors to calculate the LCM of 95730 and 95744.

LCM(95730,95744) = 2⁹ × 3¹ × 5¹ × 3191¹ × 11¹ × 17¹
LCM(95730,95744) = 4582786560