What is the Least Common Multiple of 34440 and 34454?

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 34440 and 34454 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34440 and 34454, than apply into the LCM equation.

GCF(34440,34454) = 14
LCM(34440,34454) = ( 34440 × 34454) / 14
LCM(34440,34454) = 1186595760 / 14
LCM(34440,34454) = 84756840

Least Common Multiple (LCM) of 34440 and 34454 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34440 and 34454. First we will calculate the prime factors of 34440 and 34454.

Prime Factorization of 34440

Prime Factorization of 34454

Now multiplying the highest exponent prime factors to calculate the LCM of 34440 and 34454.

LCM(34440,34454) = 2³ × 3¹ × 5¹ × 7¹ × 41¹ × 23¹ × 107¹
LCM(34440,34454) = 84756840