What is the Least Common Multiple of 42398 and 42407?

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 42398 and 42407 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42398 and 42407, than apply into the LCM equation.

GCF(42398,42407) = 1
LCM(42398,42407) = ( 42398 × 42407) / 1
LCM(42398,42407) = 1797971986 / 1
LCM(42398,42407) = 1797971986

Least Common Multiple (LCM) of 42398 and 42407 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42398 and 42407. First we will calculate the prime factors of 42398 and 42407.

Prime Factorization of 42398

Prime Factorization of 42407

Now multiplying the highest exponent prime factors to calculate the LCM of 42398 and 42407.

LCM(42398,42407) = 2¹ × 17¹ × 29¹ × 43¹ × 42407¹
LCM(42398,42407) = 1797971986