What is the Least Common Multiple of 78365 and 78382?

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 78365 and 78382 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78365 and 78382, than apply into the LCM equation.

GCF(78365,78382) = 1
LCM(78365,78382) = ( 78365 × 78382) / 1
LCM(78365,78382) = 6142405430 / 1
LCM(78365,78382) = 6142405430

Least Common Multiple (LCM) of 78365 and 78382 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78365 and 78382. First we will calculate the prime factors of 78365 and 78382.

Prime Factorization of 78365

Prime Factorization of 78382

Now multiplying the highest exponent prime factors to calculate the LCM of 78365 and 78382.

LCM(78365,78382) = 5¹ × 7¹ × 2239¹ × 2¹ × 39191¹
LCM(78365,78382) = 6142405430