What is the Least Common Multiple of 52749 and 52762?

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 52749 and 52762 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52749 and 52762, than apply into the LCM equation.

GCF(52749,52762) = 1
LCM(52749,52762) = ( 52749 × 52762) / 1
LCM(52749,52762) = 2783142738 / 1
LCM(52749,52762) = 2783142738

Least Common Multiple (LCM) of 52749 and 52762 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52749 and 52762. First we will calculate the prime factors of 52749 and 52762.

Prime Factorization of 52749

Prime Factorization of 52762

Now multiplying the highest exponent prime factors to calculate the LCM of 52749 and 52762.

LCM(52749,52762) = 3² × 5861¹ × 2¹ × 23¹ × 31¹ × 37¹
LCM(52749,52762) = 2783142738