What is the Least Common Multiple of 95732 and 95736?

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 95732 and 95736 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95732 and 95736, than apply into the LCM equation.

GCF(95732,95736) = 4
LCM(95732,95736) = ( 95732 × 95736) / 4
LCM(95732,95736) = 9164998752 / 4
LCM(95732,95736) = 2291249688

Least Common Multiple (LCM) of 95732 and 95736 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95732 and 95736. First we will calculate the prime factors of 95732 and 95736.

Prime Factorization of 95732

Prime Factorization of 95736

Now multiplying the highest exponent prime factors to calculate the LCM of 95732 and 95736.

LCM(95732,95736) = 2³ × 7¹ × 13¹ × 263¹ × 3¹ × 3989¹
LCM(95732,95736) = 2291249688