What is the Least Common Multiple of 53750 and 53762?

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 53750 and 53762 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53750 and 53762, than apply into the LCM equation.

GCF(53750,53762) = 2
LCM(53750,53762) = ( 53750 × 53762) / 2
LCM(53750,53762) = 2889707500 / 2
LCM(53750,53762) = 1444853750

Least Common Multiple (LCM) of 53750 and 53762 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53750 and 53762. First we will calculate the prime factors of 53750 and 53762.

Prime Factorization of 53750

Prime Factorization of 53762

Now multiplying the highest exponent prime factors to calculate the LCM of 53750 and 53762.

LCM(53750,53762) = 2¹ × 5⁴ × 43¹ × 26881¹
LCM(53750,53762) = 1444853750