What is the Least Common Multiple of 21638 and 21645?

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 21638 and 21645 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21638 and 21645, than apply into the LCM equation.

GCF(21638,21645) = 1
LCM(21638,21645) = ( 21638 × 21645) / 1
LCM(21638,21645) = 468354510 / 1
LCM(21638,21645) = 468354510

Least Common Multiple (LCM) of 21638 and 21645 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21638 and 21645. First we will calculate the prime factors of 21638 and 21645.

Prime Factorization of 21638

Prime Factorization of 21645

Now multiplying the highest exponent prime factors to calculate the LCM of 21638 and 21645.

LCM(21638,21645) = 2¹ × 31¹ × 349¹ × 3² × 5¹ × 13¹ × 37¹
LCM(21638,21645) = 468354510