What is the Least Common Multiple of 78354 and 78367?

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 78354 and 78367 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78354 and 78367, than apply into the LCM equation.

GCF(78354,78367) = 1
LCM(78354,78367) = ( 78354 × 78367) / 1
LCM(78354,78367) = 6140367918 / 1
LCM(78354,78367) = 6140367918

Least Common Multiple (LCM) of 78354 and 78367 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78354 and 78367. First we will calculate the prime factors of 78354 and 78367.

Prime Factorization of 78354

Prime Factorization of 78367

Now multiplying the highest exponent prime factors to calculate the LCM of 78354 and 78367.

LCM(78354,78367) = 2¹ × 3³ × 1451¹ × 78367¹
LCM(78354,78367) = 6140367918