What is the Least Common Multiple of 21653 and 21670?

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 21653 and 21670 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21653 and 21670, than apply into the LCM equation.

GCF(21653,21670) = 1
LCM(21653,21670) = ( 21653 × 21670) / 1
LCM(21653,21670) = 469220510 / 1
LCM(21653,21670) = 469220510

Least Common Multiple (LCM) of 21653 and 21670 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21653 and 21670. First we will calculate the prime factors of 21653 and 21670.

Prime Factorization of 21653

Prime Factorization of 21670

Now multiplying the highest exponent prime factors to calculate the LCM of 21653 and 21670.

LCM(21653,21670) = 59¹ × 367¹ × 2¹ × 5¹ × 11¹ × 197¹
LCM(21653,21670) = 469220510