What is the Least Common Multiple of 21510 and 21529?

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 21510 and 21529 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21510 and 21529, than apply into the LCM equation.

GCF(21510,21529) = 1
LCM(21510,21529) = ( 21510 × 21529) / 1
LCM(21510,21529) = 463088790 / 1
LCM(21510,21529) = 463088790

Least Common Multiple (LCM) of 21510 and 21529 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21510 and 21529. First we will calculate the prime factors of 21510 and 21529.

Prime Factorization of 21510

Prime Factorization of 21529

Now multiplying the highest exponent prime factors to calculate the LCM of 21510 and 21529.

LCM(21510,21529) = 2¹ × 3² × 5¹ × 239¹ × 21529¹
LCM(21510,21529) = 463088790