What is the Least Common Multiple of 21301 and 21312?

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 21301 and 21312 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21301 and 21312, than apply into the LCM equation.

GCF(21301,21312) = 1
LCM(21301,21312) = ( 21301 × 21312) / 1
LCM(21301,21312) = 453966912 / 1
LCM(21301,21312) = 453966912

Least Common Multiple (LCM) of 21301 and 21312 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21301 and 21312. First we will calculate the prime factors of 21301 and 21312.

Prime Factorization of 21301

Prime Factorization of 21312

Now multiplying the highest exponent prime factors to calculate the LCM of 21301 and 21312.

LCM(21301,21312) = 7¹ × 17¹ × 179¹ × 2⁶ × 3² × 37¹
LCM(21301,21312) = 453966912