What is the Least Common Multiple of 23750 and 23758?

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 23750 and 23758 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23750 and 23758, than apply into the LCM equation.

GCF(23750,23758) = 2
LCM(23750,23758) = ( 23750 × 23758) / 2
LCM(23750,23758) = 564252500 / 2
LCM(23750,23758) = 282126250

Least Common Multiple (LCM) of 23750 and 23758 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23750 and 23758. First we will calculate the prime factors of 23750 and 23758.

Prime Factorization of 23750

Prime Factorization of 23758

Now multiplying the highest exponent prime factors to calculate the LCM of 23750 and 23758.

LCM(23750,23758) = 2¹ × 5⁴ × 19¹ × 7¹ × 1697¹
LCM(23750,23758) = 282126250