What is the Least Common Multiple of 34435 and 34440?

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 34435 and 34440 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34435 and 34440, than apply into the LCM equation.

GCF(34435,34440) = 5
LCM(34435,34440) = ( 34435 × 34440) / 5
LCM(34435,34440) = 1185941400 / 5
LCM(34435,34440) = 237188280

Least Common Multiple (LCM) of 34435 and 34440 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34435 and 34440. First we will calculate the prime factors of 34435 and 34440.

Prime Factorization of 34435

Prime Factorization of 34440

Now multiplying the highest exponent prime factors to calculate the LCM of 34435 and 34440.

LCM(34435,34440) = 5¹ × 71¹ × 97¹ × 2³ × 3¹ × 7¹ × 41¹
LCM(34435,34440) = 237188280