What is the Least Common Multiple of 34443 and 34456?

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 34443 and 34456 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34443 and 34456, than apply into the LCM equation.

GCF(34443,34456) = 1
LCM(34443,34456) = ( 34443 × 34456) / 1
LCM(34443,34456) = 1186768008 / 1
LCM(34443,34456) = 1186768008

Least Common Multiple (LCM) of 34443 and 34456 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34443 and 34456. First we will calculate the prime factors of 34443 and 34456.

Prime Factorization of 34443

Prime Factorization of 34456

Now multiplying the highest exponent prime factors to calculate the LCM of 34443 and 34456.

LCM(34443,34456) = 3² × 43¹ × 89¹ × 2³ × 59¹ × 73¹
LCM(34443,34456) = 1186768008