What is the Least Common Multiple of 34340 and 34345?

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 34340 and 34345 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34340 and 34345, than apply into the LCM equation.

GCF(34340,34345) = 5
LCM(34340,34345) = ( 34340 × 34345) / 5
LCM(34340,34345) = 1179407300 / 5
LCM(34340,34345) = 235881460

Least Common Multiple (LCM) of 34340 and 34345 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34340 and 34345. First we will calculate the prime factors of 34340 and 34345.

Prime Factorization of 34340

Prime Factorization of 34345

Now multiplying the highest exponent prime factors to calculate the LCM of 34340 and 34345.

LCM(34340,34345) = 2² × 5¹ × 17¹ × 101¹ × 6869¹
LCM(34340,34345) = 235881460