What is the Least Common Multiple of 52401 and 52419?

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 52401 and 52419 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52401 and 52419, than apply into the LCM equation.

GCF(52401,52419) = 3
LCM(52401,52419) = ( 52401 × 52419) / 3
LCM(52401,52419) = 2746808019 / 3
LCM(52401,52419) = 915602673

Least Common Multiple (LCM) of 52401 and 52419 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52401 and 52419. First we will calculate the prime factors of 52401 and 52419.

Prime Factorization of 52401

Prime Factorization of 52419

Now multiplying the highest exponent prime factors to calculate the LCM of 52401 and 52419.

LCM(52401,52419) = 3¹ × 17467¹ × 101¹ × 173¹
LCM(52401,52419) = 915602673