What is the Least Common Multiple of 4351 and 4367?

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 4351 and 4367 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4351 and 4367, than apply into the LCM equation.

GCF(4351,4367) = 1
LCM(4351,4367) = ( 4351 × 4367) / 1
LCM(4351,4367) = 19000817 / 1
LCM(4351,4367) = 19000817

Least Common Multiple (LCM) of 4351 and 4367 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4351 and 4367. First we will calculate the prime factors of 4351 and 4367.

Prime Factorization of 4351

Prime Factorization of 4367

Now multiplying the highest exponent prime factors to calculate the LCM of 4351 and 4367.

LCM(4351,4367) = 19¹ × 229¹ × 11¹ × 397¹
LCM(4351,4367) = 19000817