What is the Least Common Multiple of 40347 and 40367?

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 40347 and 40367 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40347 and 40367, than apply into the LCM equation.

GCF(40347,40367) = 1
LCM(40347,40367) = ( 40347 × 40367) / 1
LCM(40347,40367) = 1628687349 / 1
LCM(40347,40367) = 1628687349

Least Common Multiple (LCM) of 40347 and 40367 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40347 and 40367. First we will calculate the prime factors of 40347 and 40367.

Prime Factorization of 40347

Prime Factorization of 40367

Now multiplying the highest exponent prime factors to calculate the LCM of 40347 and 40367.

LCM(40347,40367) = 3² × 4483¹ × 37¹ × 1091¹
LCM(40347,40367) = 1628687349