What is the Least Common Multiple of 42458 and 42478?

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 42458 and 42478 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42458 and 42478, than apply into the LCM equation.

GCF(42458,42478) = 2
LCM(42458,42478) = ( 42458 × 42478) / 2
LCM(42458,42478) = 1803530924 / 2
LCM(42458,42478) = 901765462

Least Common Multiple (LCM) of 42458 and 42478 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42458 and 42478. First we will calculate the prime factors of 42458 and 42478.

Prime Factorization of 42458

Prime Factorization of 42478

Now multiplying the highest exponent prime factors to calculate the LCM of 42458 and 42478.

LCM(42458,42478) = 2¹ × 13¹ × 23¹ × 71¹ × 67¹ × 317¹
LCM(42458,42478) = 901765462