What is the Least Common Multiple of 21830 and 21837?

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 21830 and 21837 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21830 and 21837, than apply into the LCM equation.

GCF(21830,21837) = 1
LCM(21830,21837) = ( 21830 × 21837) / 1
LCM(21830,21837) = 476701710 / 1
LCM(21830,21837) = 476701710

Least Common Multiple (LCM) of 21830 and 21837 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21830 and 21837. First we will calculate the prime factors of 21830 and 21837.

Prime Factorization of 21830

Prime Factorization of 21837

Now multiplying the highest exponent prime factors to calculate the LCM of 21830 and 21837.

LCM(21830,21837) = 2¹ × 5¹ × 37¹ × 59¹ × 3¹ × 29¹ × 251¹
LCM(21830,21837) = 476701710