What is the Least Common Multiple of 14750 and 14762?

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 14750 and 14762 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14750 and 14762, than apply into the LCM equation.

GCF(14750,14762) = 2
LCM(14750,14762) = ( 14750 × 14762) / 2
LCM(14750,14762) = 217739500 / 2
LCM(14750,14762) = 108869750

Least Common Multiple (LCM) of 14750 and 14762 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14750 and 14762. First we will calculate the prime factors of 14750 and 14762.

Prime Factorization of 14750

Prime Factorization of 14762

Now multiplying the highest exponent prime factors to calculate the LCM of 14750 and 14762.

LCM(14750,14762) = 2¹ × 5³ × 59¹ × 11² × 61¹
LCM(14750,14762) = 108869750