What is the Least Common Multiple of 95730 and 95740?

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 95740 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 95740, than apply into the LCM equation.

GCF(95730,95740) = 10
LCM(95730,95740) = ( 95730 × 95740) / 10
LCM(95730,95740) = 9165190200 / 10
LCM(95730,95740) = 916519020

Least Common Multiple (LCM) of 95730 and 95740 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95730 and 95740. First we will calculate the prime factors of 95730 and 95740.

Prime Factorization of 95730

Prime Factorization of 95740

Now multiplying the highest exponent prime factors to calculate the LCM of 95730 and 95740.

LCM(95730,95740) = 2² × 3¹ × 5¹ × 3191¹ × 4787¹
LCM(95730,95740) = 916519020