What is the Least Common Multiple of 42406 and 42424?

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 42406 and 42424 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42406 and 42424, than apply into the LCM equation.

GCF(42406,42424) = 2
LCM(42406,42424) = ( 42406 × 42424) / 2
LCM(42406,42424) = 1799032144 / 2
LCM(42406,42424) = 899516072

Least Common Multiple (LCM) of 42406 and 42424 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42406 and 42424. First we will calculate the prime factors of 42406 and 42424.

Prime Factorization of 42406

Prime Factorization of 42424

Now multiplying the highest exponent prime factors to calculate the LCM of 42406 and 42424.

LCM(42406,42424) = 2³ × 7¹ × 13¹ × 233¹ × 5303¹
LCM(42406,42424) = 899516072