What is the Least Common Multiple of 21438 and 21458?

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 21438 and 21458 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21438 and 21458, than apply into the LCM equation.

GCF(21438,21458) = 2
LCM(21438,21458) = ( 21438 × 21458) / 2
LCM(21438,21458) = 460016604 / 2
LCM(21438,21458) = 230008302

Least Common Multiple (LCM) of 21438 and 21458 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21438 and 21458. First we will calculate the prime factors of 21438 and 21458.

Prime Factorization of 21438

Prime Factorization of 21458

Now multiplying the highest exponent prime factors to calculate the LCM of 21438 and 21458.

LCM(21438,21458) = 2¹ × 3³ × 397¹ × 10729¹
LCM(21438,21458) = 230008302