What is the Least Common Multiple of 96440 and 96454?

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 96440 and 96454 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96440 and 96454, than apply into the LCM equation.

GCF(96440,96454) = 2
LCM(96440,96454) = ( 96440 × 96454) / 2
LCM(96440,96454) = 9302023760 / 2
LCM(96440,96454) = 4651011880

Least Common Multiple (LCM) of 96440 and 96454 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96440 and 96454. First we will calculate the prime factors of 96440 and 96454.

Prime Factorization of 96440

Prime Factorization of 96454

Now multiplying the highest exponent prime factors to calculate the LCM of 96440 and 96454.

LCM(96440,96454) = 2³ × 5¹ × 2411¹ × 29¹ × 1663¹
LCM(96440,96454) = 4651011880