What is the Least Common Multiple of 23240 and 23252?

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 23240 and 23252 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23240 and 23252, than apply into the LCM equation.

GCF(23240,23252) = 4
LCM(23240,23252) = ( 23240 × 23252) / 4
LCM(23240,23252) = 540376480 / 4
LCM(23240,23252) = 135094120

Least Common Multiple (LCM) of 23240 and 23252 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23240 and 23252. First we will calculate the prime factors of 23240 and 23252.

Prime Factorization of 23240

Prime Factorization of 23252

Now multiplying the highest exponent prime factors to calculate the LCM of 23240 and 23252.

LCM(23240,23252) = 2³ × 5¹ × 7¹ × 83¹ × 5813¹
LCM(23240,23252) = 135094120