What is the Least Common Multiple of 21708 and 21718?

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 21708 and 21718 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21708 and 21718, than apply into the LCM equation.

GCF(21708,21718) = 2
LCM(21708,21718) = ( 21708 × 21718) / 2
LCM(21708,21718) = 471454344 / 2
LCM(21708,21718) = 235727172

Least Common Multiple (LCM) of 21708 and 21718 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21708 and 21718. First we will calculate the prime factors of 21708 and 21718.

Prime Factorization of 21708

Prime Factorization of 21718

Now multiplying the highest exponent prime factors to calculate the LCM of 21708 and 21718.

LCM(21708,21718) = 2² × 3⁴ × 67¹ × 10859¹
LCM(21708,21718) = 235727172