What is the Least Common Multiple of 95784 and 95797?

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 95784 and 95797 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95784 and 95797, than apply into the LCM equation.

GCF(95784,95797) = 13
LCM(95784,95797) = ( 95784 × 95797) / 13
LCM(95784,95797) = 9175819848 / 13
LCM(95784,95797) = 705832296

Least Common Multiple (LCM) of 95784 and 95797 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95784 and 95797. First we will calculate the prime factors of 95784 and 95797.

Prime Factorization of 95784

Prime Factorization of 95797

Now multiplying the highest exponent prime factors to calculate the LCM of 95784 and 95797.

LCM(95784,95797) = 2³ × 3¹ × 13¹ × 307¹ × 7369¹
LCM(95784,95797) = 705832296