What is the Least Common Multiple of 21435 and 21446?

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 21435 and 21446 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21435 and 21446, than apply into the LCM equation.

GCF(21435,21446) = 1
LCM(21435,21446) = ( 21435 × 21446) / 1
LCM(21435,21446) = 459695010 / 1
LCM(21435,21446) = 459695010

Least Common Multiple (LCM) of 21435 and 21446 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21435 and 21446. First we will calculate the prime factors of 21435 and 21446.

Prime Factorization of 21435

Prime Factorization of 21446

Now multiplying the highest exponent prime factors to calculate the LCM of 21435 and 21446.

LCM(21435,21446) = 3¹ × 5¹ × 1429¹ × 2¹ × 10723¹
LCM(21435,21446) = 459695010