What is the Least Common Multiple of 88440 and 88454?

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 88440 and 88454 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88440 and 88454, than apply into the LCM equation.

GCF(88440,88454) = 2
LCM(88440,88454) = ( 88440 × 88454) / 2
LCM(88440,88454) = 7822871760 / 2
LCM(88440,88454) = 3911435880

Least Common Multiple (LCM) of 88440 and 88454 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88440 and 88454. First we will calculate the prime factors of 88440 and 88454.

Prime Factorization of 88440

Prime Factorization of 88454

Now multiplying the highest exponent prime factors to calculate the LCM of 88440 and 88454.

LCM(88440,88454) = 2³ × 3¹ × 5¹ × 11¹ × 67¹ × 47¹ × 941¹
LCM(88440,88454) = 3911435880