What is the Least Common Multiple of 21034 and 21041?

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 21034 and 21041 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21034 and 21041, than apply into the LCM equation.

GCF(21034,21041) = 1
LCM(21034,21041) = ( 21034 × 21041) / 1
LCM(21034,21041) = 442576394 / 1
LCM(21034,21041) = 442576394

Least Common Multiple (LCM) of 21034 and 21041 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21034 and 21041. First we will calculate the prime factors of 21034 and 21041.

Prime Factorization of 21034

Prime Factorization of 21041

Now multiplying the highest exponent prime factors to calculate the LCM of 21034 and 21041.

LCM(21034,21041) = 2¹ × 13¹ × 809¹ × 53¹ × 397¹
LCM(21034,21041) = 442576394