What is the Least Common Multiple of 23515 and 23535?

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 23515 and 23535 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23515 and 23535, than apply into the LCM equation.

GCF(23515,23535) = 5
LCM(23515,23535) = ( 23515 × 23535) / 5
LCM(23515,23535) = 553425525 / 5
LCM(23515,23535) = 110685105

Least Common Multiple (LCM) of 23515 and 23535 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23515 and 23535. First we will calculate the prime factors of 23515 and 23535.

Prime Factorization of 23515

Prime Factorization of 23535

Now multiplying the highest exponent prime factors to calculate the LCM of 23515 and 23535.

LCM(23515,23535) = 5¹ × 4703¹ × 3² × 523¹
LCM(23515,23535) = 110685105