What is the Least Common Multiple of 21102 and 21113?

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 21102 and 21113 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21102 and 21113, than apply into the LCM equation.

GCF(21102,21113) = 1
LCM(21102,21113) = ( 21102 × 21113) / 1
LCM(21102,21113) = 445526526 / 1
LCM(21102,21113) = 445526526

Least Common Multiple (LCM) of 21102 and 21113 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21102 and 21113. First we will calculate the prime factors of 21102 and 21113.

Prime Factorization of 21102

Prime Factorization of 21113

Now multiplying the highest exponent prime factors to calculate the LCM of 21102 and 21113.

LCM(21102,21113) = 2¹ × 3¹ × 3517¹ × 43¹ × 491¹
LCM(21102,21113) = 445526526