What is the Least Common Multiple of 21530 and 21534?

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 21530 and 21534 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21530 and 21534, than apply into the LCM equation.

GCF(21530,21534) = 2
LCM(21530,21534) = ( 21530 × 21534) / 2
LCM(21530,21534) = 463627020 / 2
LCM(21530,21534) = 231813510

Least Common Multiple (LCM) of 21530 and 21534 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21530 and 21534. First we will calculate the prime factors of 21530 and 21534.

Prime Factorization of 21530

Prime Factorization of 21534

Now multiplying the highest exponent prime factors to calculate the LCM of 21530 and 21534.

LCM(21530,21534) = 2¹ × 5¹ × 2153¹ × 3¹ × 37¹ × 97¹
LCM(21530,21534) = 231813510