What is the Least Common Multiple of 23237 and 23253?

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 23237 and 23253 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23237 and 23253, than apply into the LCM equation.

GCF(23237,23253) = 1
LCM(23237,23253) = ( 23237 × 23253) / 1
LCM(23237,23253) = 540329961 / 1
LCM(23237,23253) = 540329961

Least Common Multiple (LCM) of 23237 and 23253 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23237 and 23253. First we will calculate the prime factors of 23237 and 23253.

Prime Factorization of 23237

Prime Factorization of 23253

Now multiplying the highest exponent prime factors to calculate the LCM of 23237 and 23253.

LCM(23237,23253) = 19¹ × 1223¹ × 3¹ × 23¹ × 337¹
LCM(23237,23253) = 540329961