What is the Least Common Multiple of 21353 and 21362?

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 21353 and 21362 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21353 and 21362, than apply into the LCM equation.

GCF(21353,21362) = 1
LCM(21353,21362) = ( 21353 × 21362) / 1
LCM(21353,21362) = 456142786 / 1
LCM(21353,21362) = 456142786

Least Common Multiple (LCM) of 21353 and 21362 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21353 and 21362. First we will calculate the prime factors of 21353 and 21362.

Prime Factorization of 21353

Prime Factorization of 21362

Now multiplying the highest exponent prime factors to calculate the LCM of 21353 and 21362.

LCM(21353,21362) = 131¹ × 163¹ × 2¹ × 11¹ × 971¹
LCM(21353,21362) = 456142786