What is the Least Common Multiple of 23501 and 23507?

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 23501 and 23507 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23501 and 23507, than apply into the LCM equation.

GCF(23501,23507) = 1
LCM(23501,23507) = ( 23501 × 23507) / 1
LCM(23501,23507) = 552438007 / 1
LCM(23501,23507) = 552438007

Least Common Multiple (LCM) of 23501 and 23507 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23501 and 23507. First we will calculate the prime factors of 23501 and 23507.

Prime Factorization of 23501

Prime Factorization of 23507

Now multiplying the highest exponent prime factors to calculate the LCM of 23501 and 23507.

LCM(23501,23507) = 71¹ × 331¹ × 11¹ × 2137¹
LCM(23501,23507) = 552438007