What is the Least Common Multiple of 52464 and 52483?

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 52464 and 52483 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52464 and 52483, than apply into the LCM equation.

GCF(52464,52483) = 1
LCM(52464,52483) = ( 52464 × 52483) / 1
LCM(52464,52483) = 2753468112 / 1
LCM(52464,52483) = 2753468112

Least Common Multiple (LCM) of 52464 and 52483 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52464 and 52483. First we will calculate the prime factors of 52464 and 52483.

Prime Factorization of 52464

Prime Factorization of 52483

Now multiplying the highest exponent prime factors to calculate the LCM of 52464 and 52483.

LCM(52464,52483) = 2⁴ × 3¹ × 1093¹ × 31¹ × 1693¹
LCM(52464,52483) = 2753468112