What is the Least Common Multiple of 23450 and 23466?

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 23450 and 23466 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23450 and 23466, than apply into the LCM equation.

GCF(23450,23466) = 2
LCM(23450,23466) = ( 23450 × 23466) / 2
LCM(23450,23466) = 550277700 / 2
LCM(23450,23466) = 275138850

Least Common Multiple (LCM) of 23450 and 23466 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23450 and 23466. First we will calculate the prime factors of 23450 and 23466.

Prime Factorization of 23450

Prime Factorization of 23466

Now multiplying the highest exponent prime factors to calculate the LCM of 23450 and 23466.

LCM(23450,23466) = 2¹ × 5² × 7¹ × 67¹ × 3¹ × 3911¹
LCM(23450,23466) = 275138850