What is the Least Common Multiple of 15750 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 15750 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 15750 and 15762, than apply into the LCM equation.

GCF(15750,15762) = 6
LCM(15750,15762) = ( 15750 × 15762) / 6
LCM(15750,15762) = 248251500 / 6
LCM(15750,15762) = 41375250

Least Common Multiple (LCM) of 15750 and 15762 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15750 and 15762. First we will calculate the prime factors of 15750 and 15762.

Prime Factorization of 15750

Prime Factorization of 15762

Now multiplying the highest exponent prime factors to calculate the LCM of 15750 and 15762.

LCM(15750,15762) = 2¹ × 3² × 5³ × 7¹ × 37¹ × 71¹
LCM(15750,15762) = 41375250