What is the Least Common Multiple of 23750 and 23770?

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 23770 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 23770, than apply into the LCM equation.

GCF(23750,23770) = 10
LCM(23750,23770) = ( 23750 × 23770) / 10
LCM(23750,23770) = 564537500 / 10
LCM(23750,23770) = 56453750

Least Common Multiple (LCM) of 23750 and 23770 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23750 and 23770. First we will calculate the prime factors of 23750 and 23770.

Prime Factorization of 23750

Prime Factorization of 23770

Now multiplying the highest exponent prime factors to calculate the LCM of 23750 and 23770.

LCM(23750,23770) = 2¹ × 5⁴ × 19¹ × 2377¹
LCM(23750,23770) = 56453750