What is the Least Common Multiple of 21639 and 21655?

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 21639 and 21655 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21639 and 21655, than apply into the LCM equation.

GCF(21639,21655) = 1
LCM(21639,21655) = ( 21639 × 21655) / 1
LCM(21639,21655) = 468592545 / 1
LCM(21639,21655) = 468592545

Least Common Multiple (LCM) of 21639 and 21655 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21639 and 21655. First we will calculate the prime factors of 21639 and 21655.

Prime Factorization of 21639

Prime Factorization of 21655

Now multiplying the highest exponent prime factors to calculate the LCM of 21639 and 21655.

LCM(21639,21655) = 3¹ × 7213¹ × 5¹ × 61¹ × 71¹
LCM(21639,21655) = 468592545