What is the Least Common Multiple of 21716 and 21731?

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 21716 and 21731 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21716 and 21731, than apply into the LCM equation.

GCF(21716,21731) = 1
LCM(21716,21731) = ( 21716 × 21731) / 1
LCM(21716,21731) = 471910396 / 1
LCM(21716,21731) = 471910396

Least Common Multiple (LCM) of 21716 and 21731 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21716 and 21731. First we will calculate the prime factors of 21716 and 21731.

Prime Factorization of 21716

Prime Factorization of 21731

Now multiplying the highest exponent prime factors to calculate the LCM of 21716 and 21731.

LCM(21716,21731) = 2² × 61¹ × 89¹ × 31¹ × 701¹
LCM(21716,21731) = 471910396