What is the Least Common Multiple of 21749 and 21764?

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 21749 and 21764 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21749 and 21764, than apply into the LCM equation.

GCF(21749,21764) = 1
LCM(21749,21764) = ( 21749 × 21764) / 1
LCM(21749,21764) = 473345236 / 1
LCM(21749,21764) = 473345236

Least Common Multiple (LCM) of 21749 and 21764 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21749 and 21764. First we will calculate the prime factors of 21749 and 21764.

Prime Factorization of 21749

Prime Factorization of 21764

Now multiplying the highest exponent prime factors to calculate the LCM of 21749 and 21764.

LCM(21749,21764) = 7¹ × 13¹ × 239¹ × 2² × 5441¹
LCM(21749,21764) = 473345236