What is the Least Common Multiple of 15747 and 15762?

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 15747 and 15762 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15747 and 15762, than apply into the LCM equation.

GCF(15747,15762) = 3
LCM(15747,15762) = ( 15747 × 15762) / 3
LCM(15747,15762) = 248204214 / 3
LCM(15747,15762) = 82734738

Least Common Multiple (LCM) of 15747 and 15762 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15747 and 15762. First we will calculate the prime factors of 15747 and 15762.

Prime Factorization of 15747

Prime Factorization of 15762

Now multiplying the highest exponent prime factors to calculate the LCM of 15747 and 15762.

LCM(15747,15762) = 3¹ × 29¹ × 181¹ × 2¹ × 37¹ × 71¹
LCM(15747,15762) = 82734738