What is the Least Common Multiple of 34370 and 34382?

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 34370 and 34382 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34370 and 34382, than apply into the LCM equation.

GCF(34370,34382) = 2
LCM(34370,34382) = ( 34370 × 34382) / 2
LCM(34370,34382) = 1181709340 / 2
LCM(34370,34382) = 590854670

Least Common Multiple (LCM) of 34370 and 34382 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34370 and 34382. First we will calculate the prime factors of 34370 and 34382.

Prime Factorization of 34370

Prime Factorization of 34382

Now multiplying the highest exponent prime factors to calculate the LCM of 34370 and 34382.

LCM(34370,34382) = 2¹ × 5¹ × 7¹ × 491¹ × 17191¹
LCM(34370,34382) = 590854670