What is the Least Common Multiple of 34365 and 34370?

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 34365 and 34370 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34365 and 34370, than apply into the LCM equation.

GCF(34365,34370) = 5
LCM(34365,34370) = ( 34365 × 34370) / 5
LCM(34365,34370) = 1181125050 / 5
LCM(34365,34370) = 236225010

Least Common Multiple (LCM) of 34365 and 34370 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34365 and 34370. First we will calculate the prime factors of 34365 and 34370.

Prime Factorization of 34365

Prime Factorization of 34370

Now multiplying the highest exponent prime factors to calculate the LCM of 34365 and 34370.

LCM(34365,34370) = 3¹ × 5¹ × 29¹ × 79¹ × 2¹ × 7¹ × 491¹
LCM(34365,34370) = 236225010