What is the Least Common Multiple of 34440 and 34455?

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 34455 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 34455, than apply into the LCM equation.

GCF(34440,34455) = 15
LCM(34440,34455) = ( 34440 × 34455) / 15
LCM(34440,34455) = 1186630200 / 15
LCM(34440,34455) = 79108680

Least Common Multiple (LCM) of 34440 and 34455 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34440 and 34455. First we will calculate the prime factors of 34440 and 34455.

Prime Factorization of 34440

Prime Factorization of 34455

Now multiplying the highest exponent prime factors to calculate the LCM of 34440 and 34455.

LCM(34440,34455) = 2³ × 3¹ × 5¹ × 7¹ × 41¹ × 2297¹
LCM(34440,34455) = 79108680