What is the Least Common Multiple of 21730 and 21735?

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 21730 and 21735 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21730 and 21735, than apply into the LCM equation.

GCF(21730,21735) = 5
LCM(21730,21735) = ( 21730 × 21735) / 5
LCM(21730,21735) = 472301550 / 5
LCM(21730,21735) = 94460310

Least Common Multiple (LCM) of 21730 and 21735 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21730 and 21735. First we will calculate the prime factors of 21730 and 21735.

Prime Factorization of 21730

Prime Factorization of 21735

Now multiplying the highest exponent prime factors to calculate the LCM of 21730 and 21735.

LCM(21730,21735) = 2¹ × 5¹ × 41¹ × 53¹ × 3³ × 7¹ × 23¹
LCM(21730,21735) = 94460310