What is the Least Common Multiple of 78330 and 78345?

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 78330 and 78345 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78330 and 78345, than apply into the LCM equation.

GCF(78330,78345) = 15
LCM(78330,78345) = ( 78330 × 78345) / 15
LCM(78330,78345) = 6136763850 / 15
LCM(78330,78345) = 409117590

Least Common Multiple (LCM) of 78330 and 78345 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78330 and 78345. First we will calculate the prime factors of 78330 and 78345.

Prime Factorization of 78330

Prime Factorization of 78345

Now multiplying the highest exponent prime factors to calculate the LCM of 78330 and 78345.

LCM(78330,78345) = 2¹ × 3² × 5¹ × 7¹ × 373¹ × 1741¹
LCM(78330,78345) = 409117590