What is the Least Common Multiple of 95824 and 95844?

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 95824 and 95844 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95824 and 95844, than apply into the LCM equation.

GCF(95824,95844) = 4
LCM(95824,95844) = ( 95824 × 95844) / 4
LCM(95824,95844) = 9184155456 / 4
LCM(95824,95844) = 2296038864

Least Common Multiple (LCM) of 95824 and 95844 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95824 and 95844. First we will calculate the prime factors of 95824 and 95844.

Prime Factorization of 95824

Prime Factorization of 95844

Now multiplying the highest exponent prime factors to calculate the LCM of 95824 and 95844.

LCM(95824,95844) = 2⁴ × 53¹ × 113¹ × 3¹ × 7² × 163¹
LCM(95824,95844) = 2296038864