What is the Least Common Multiple of 21206 and 21214?

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 21206 and 21214 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21206 and 21214, than apply into the LCM equation.

GCF(21206,21214) = 2
LCM(21206,21214) = ( 21206 × 21214) / 2
LCM(21206,21214) = 449864084 / 2
LCM(21206,21214) = 224932042

Least Common Multiple (LCM) of 21206 and 21214 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21206 and 21214. First we will calculate the prime factors of 21206 and 21214.

Prime Factorization of 21206

Prime Factorization of 21214

Now multiplying the highest exponent prime factors to calculate the LCM of 21206 and 21214.

LCM(21206,21214) = 2¹ × 23¹ × 461¹ × 10607¹
LCM(21206,21214) = 224932042