What is the Least Common Multiple of 23262 and 23270?

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 23262 and 23270 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23262 and 23270, than apply into the LCM equation.

GCF(23262,23270) = 2
LCM(23262,23270) = ( 23262 × 23270) / 2
LCM(23262,23270) = 541306740 / 2
LCM(23262,23270) = 270653370

Least Common Multiple (LCM) of 23262 and 23270 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23262 and 23270. First we will calculate the prime factors of 23262 and 23270.

Prime Factorization of 23262

Prime Factorization of 23270

Now multiplying the highest exponent prime factors to calculate the LCM of 23262 and 23270.

LCM(23262,23270) = 2¹ × 3¹ × 3877¹ × 5¹ × 13¹ × 179¹
LCM(23262,23270) = 270653370