What is the Least Common Multiple of 21710 and 21730?

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 21710 and 21730 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21710 and 21730, than apply into the LCM equation.

GCF(21710,21730) = 10
LCM(21710,21730) = ( 21710 × 21730) / 10
LCM(21710,21730) = 471758300 / 10
LCM(21710,21730) = 47175830

Least Common Multiple (LCM) of 21710 and 21730 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21710 and 21730. First we will calculate the prime factors of 21710 and 21730.

Prime Factorization of 21710

Prime Factorization of 21730

Now multiplying the highest exponent prime factors to calculate the LCM of 21710 and 21730.

LCM(21710,21730) = 2¹ × 5¹ × 13¹ × 167¹ × 41¹ × 53¹
LCM(21710,21730) = 47175830