What is the Least Common Multiple of 22113 and 22132?

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 22113 and 22132 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22113 and 22132, than apply into the LCM equation.

GCF(22113,22132) = 1
LCM(22113,22132) = ( 22113 × 22132) / 1
LCM(22113,22132) = 489404916 / 1
LCM(22113,22132) = 489404916

Least Common Multiple (LCM) of 22113 and 22132 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 22113 and 22132. First we will calculate the prime factors of 22113 and 22132.

Prime Factorization of 22113

Prime Factorization of 22132

Now multiplying the highest exponent prime factors to calculate the LCM of 22113 and 22132.

LCM(22113,22132) = 3⁵ × 7¹ × 13¹ × 2² × 11¹ × 503¹
LCM(22113,22132) = 489404916