What is the Least Common Multiple of 94353 and 94367?

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 94353 and 94367 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94353 and 94367, than apply into the LCM equation.

GCF(94353,94367) = 7
LCM(94353,94367) = ( 94353 × 94367) / 7
LCM(94353,94367) = 8903809551 / 7
LCM(94353,94367) = 1271972793

Least Common Multiple (LCM) of 94353 and 94367 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94353 and 94367. First we will calculate the prime factors of 94353 and 94367.

Prime Factorization of 94353

Prime Factorization of 94367

Now multiplying the highest exponent prime factors to calculate the LCM of 94353 and 94367.

LCM(94353,94367) = 3¹ × 7¹ × 4493¹ × 13¹ × 17¹ × 61¹
LCM(94353,94367) = 1271972793