What is the Least Common Multiple of 21810 and 21830?

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 21810 and 21830 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21810 and 21830, than apply into the LCM equation.

GCF(21810,21830) = 10
LCM(21810,21830) = ( 21810 × 21830) / 10
LCM(21810,21830) = 476112300 / 10
LCM(21810,21830) = 47611230

Least Common Multiple (LCM) of 21810 and 21830 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21810 and 21830. First we will calculate the prime factors of 21810 and 21830.

Prime Factorization of 21810

Prime Factorization of 21830

Now multiplying the highest exponent prime factors to calculate the LCM of 21810 and 21830.

LCM(21810,21830) = 2¹ × 3¹ × 5¹ × 727¹ × 37¹ × 59¹
LCM(21810,21830) = 47611230