What is the Least Common Multiple of 21083 and 21103?

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 21083 and 21103 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21083 and 21103, than apply into the LCM equation.

GCF(21083,21103) = 1
LCM(21083,21103) = ( 21083 × 21103) / 1
LCM(21083,21103) = 444914549 / 1
LCM(21083,21103) = 444914549

Least Common Multiple (LCM) of 21083 and 21103 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21083 and 21103. First we will calculate the prime factors of 21083 and 21103.

Prime Factorization of 21083

Prime Factorization of 21103

Now multiplying the highest exponent prime factors to calculate the LCM of 21083 and 21103.

LCM(21083,21103) = 29¹ × 727¹ × 47¹ × 449¹
LCM(21083,21103) = 444914549