What is the Least Common Multiple of 23170 and 23188?

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 23170 and 23188 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23170 and 23188, than apply into the LCM equation.

GCF(23170,23188) = 2
LCM(23170,23188) = ( 23170 × 23188) / 2
LCM(23170,23188) = 537265960 / 2
LCM(23170,23188) = 268632980

Least Common Multiple (LCM) of 23170 and 23188 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23170 and 23188. First we will calculate the prime factors of 23170 and 23188.

Prime Factorization of 23170

Prime Factorization of 23188

Now multiplying the highest exponent prime factors to calculate the LCM of 23170 and 23188.

LCM(23170,23188) = 2² × 5¹ × 7¹ × 331¹ × 11¹ × 17¹ × 31¹
LCM(23170,23188) = 268632980