What is the Least Common Multiple of 21717 and 21729?

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 21717 and 21729 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21717 and 21729, than apply into the LCM equation.

GCF(21717,21729) = 3
LCM(21717,21729) = ( 21717 × 21729) / 3
LCM(21717,21729) = 471888693 / 3
LCM(21717,21729) = 157296231

Least Common Multiple (LCM) of 21717 and 21729 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21717 and 21729. First we will calculate the prime factors of 21717 and 21729.

Prime Factorization of 21717

Prime Factorization of 21729

Now multiplying the highest exponent prime factors to calculate the LCM of 21717 and 21729.

LCM(21717,21729) = 3² × 19¹ × 127¹ × 7243¹
LCM(21717,21729) = 157296231