What is the Least Common Multiple of 95730 and 95739?

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 95739 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 95739, than apply into the LCM equation.

GCF(95730,95739) = 3
LCM(95730,95739) = ( 95730 × 95739) / 3
LCM(95730,95739) = 9165094470 / 3
LCM(95730,95739) = 3055031490

Least Common Multiple (LCM) of 95730 and 95739 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95730 and 95739. First we will calculate the prime factors of 95730 and 95739.

Prime Factorization of 95730

Prime Factorization of 95739

Now multiplying the highest exponent prime factors to calculate the LCM of 95730 and 95739.

LCM(95730,95739) = 2¹ × 3¹ × 5¹ × 3191¹ × 7¹ × 47¹ × 97¹
LCM(95730,95739) = 3055031490