What is the Least Common Multiple of 21146 and 21164?

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 21146 and 21164 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21146 and 21164, than apply into the LCM equation.

GCF(21146,21164) = 2
LCM(21146,21164) = ( 21146 × 21164) / 2
LCM(21146,21164) = 447533944 / 2
LCM(21146,21164) = 223766972

Least Common Multiple (LCM) of 21146 and 21164 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21146 and 21164. First we will calculate the prime factors of 21146 and 21164.

Prime Factorization of 21146

Prime Factorization of 21164

Now multiplying the highest exponent prime factors to calculate the LCM of 21146 and 21164.

LCM(21146,21164) = 2² × 97¹ × 109¹ × 11¹ × 13¹ × 37¹
LCM(21146,21164) = 223766972