What is the Least Common Multiple of 21400 and 21407?

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 21400 and 21407 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21400 and 21407, than apply into the LCM equation.

GCF(21400,21407) = 1
LCM(21400,21407) = ( 21400 × 21407) / 1
LCM(21400,21407) = 458109800 / 1
LCM(21400,21407) = 458109800

Least Common Multiple (LCM) of 21400 and 21407 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21400 and 21407. First we will calculate the prime factors of 21400 and 21407.

Prime Factorization of 21400

Prime Factorization of 21407

Now multiplying the highest exponent prime factors to calculate the LCM of 21400 and 21407.

LCM(21400,21407) = 2³ × 5² × 107¹ × 21407¹
LCM(21400,21407) = 458109800