What is the Least Common Multiple of 52348 and 52367?

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 52348 and 52367 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52348 and 52367, than apply into the LCM equation.

GCF(52348,52367) = 1
LCM(52348,52367) = ( 52348 × 52367) / 1
LCM(52348,52367) = 2741307716 / 1
LCM(52348,52367) = 2741307716

Least Common Multiple (LCM) of 52348 and 52367 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52348 and 52367. First we will calculate the prime factors of 52348 and 52367.

Prime Factorization of 52348

Prime Factorization of 52367

Now multiplying the highest exponent prime factors to calculate the LCM of 52348 and 52367.

LCM(52348,52367) = 2² × 23¹ × 569¹ × 7¹ × 7481¹
LCM(52348,52367) = 2741307716