What is the Least Common Multiple of 23510 and 23525?

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 23510 and 23525 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23510 and 23525, than apply into the LCM equation.

GCF(23510,23525) = 5
LCM(23510,23525) = ( 23510 × 23525) / 5
LCM(23510,23525) = 553072750 / 5
LCM(23510,23525) = 110614550

Least Common Multiple (LCM) of 23510 and 23525 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23510 and 23525. First we will calculate the prime factors of 23510 and 23525.

Prime Factorization of 23510

Prime Factorization of 23525

Now multiplying the highest exponent prime factors to calculate the LCM of 23510 and 23525.

LCM(23510,23525) = 2¹ × 5² × 2351¹ × 941¹
LCM(23510,23525) = 110614550