What is the Least Common Multiple of 21210 and 21230?

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 21210 and 21230 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21210 and 21230, than apply into the LCM equation.

GCF(21210,21230) = 10
LCM(21210,21230) = ( 21210 × 21230) / 10
LCM(21210,21230) = 450288300 / 10
LCM(21210,21230) = 45028830

Least Common Multiple (LCM) of 21210 and 21230 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21210 and 21230. First we will calculate the prime factors of 21210 and 21230.

Prime Factorization of 21210

Prime Factorization of 21230

Now multiplying the highest exponent prime factors to calculate the LCM of 21210 and 21230.

LCM(21210,21230) = 2¹ × 3¹ × 5¹ × 7¹ × 101¹ × 11¹ × 193¹
LCM(21210,21230) = 45028830