What is the Least Common Multiple of 9440 and 9454?

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 9440 and 9454 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9440 and 9454, than apply into the LCM equation.

GCF(9440,9454) = 2
LCM(9440,9454) = ( 9440 × 9454) / 2
LCM(9440,9454) = 89245760 / 2
LCM(9440,9454) = 44622880

Least Common Multiple (LCM) of 9440 and 9454 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9440 and 9454. First we will calculate the prime factors of 9440 and 9454.

Prime Factorization of 9440

Prime Factorization of 9454

Now multiplying the highest exponent prime factors to calculate the LCM of 9440 and 9454.

LCM(9440,9454) = 2⁵ × 5¹ × 59¹ × 29¹ × 163¹
LCM(9440,9454) = 44622880