What is the Least Common Multiple of 95936 and 95949?

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 95936 and 95949 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95936 and 95949, than apply into the LCM equation.

GCF(95936,95949) = 1
LCM(95936,95949) = ( 95936 × 95949) / 1
LCM(95936,95949) = 9204963264 / 1
LCM(95936,95949) = 9204963264

Least Common Multiple (LCM) of 95936 and 95949 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95936 and 95949. First we will calculate the prime factors of 95936 and 95949.

Prime Factorization of 95936

Prime Factorization of 95949

Now multiplying the highest exponent prime factors to calculate the LCM of 95936 and 95949.

LCM(95936,95949) = 2⁶ × 1499¹ × 3² × 7¹ × 1523¹
LCM(95936,95949) = 9204963264