What is the Least Common Multiple of 21385 and 21402?

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 21385 and 21402 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21385 and 21402, than apply into the LCM equation.

GCF(21385,21402) = 1
LCM(21385,21402) = ( 21385 × 21402) / 1
LCM(21385,21402) = 457681770 / 1
LCM(21385,21402) = 457681770

Least Common Multiple (LCM) of 21385 and 21402 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21385 and 21402. First we will calculate the prime factors of 21385 and 21402.

Prime Factorization of 21385

Prime Factorization of 21402

Now multiplying the highest exponent prime factors to calculate the LCM of 21385 and 21402.

LCM(21385,21402) = 5¹ × 7¹ × 13¹ × 47¹ × 2¹ × 3² × 29¹ × 41¹
LCM(21385,21402) = 457681770