What is the Least Common Multiple of 95440 and 95454?

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 95440 and 95454 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95440 and 95454, than apply into the LCM equation.

GCF(95440,95454) = 2
LCM(95440,95454) = ( 95440 × 95454) / 2
LCM(95440,95454) = 9110129760 / 2
LCM(95440,95454) = 4555064880

Least Common Multiple (LCM) of 95440 and 95454 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95440 and 95454. First we will calculate the prime factors of 95440 and 95454.

Prime Factorization of 95440

Prime Factorization of 95454

Now multiplying the highest exponent prime factors to calculate the LCM of 95440 and 95454.

LCM(95440,95454) = 2⁴ × 5¹ × 1193¹ × 3² × 5303¹
LCM(95440,95454) = 4555064880