What is the Least Common Multiple of 42278 and 42289?

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 42278 and 42289 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42278 and 42289, than apply into the LCM equation.

GCF(42278,42289) = 1
LCM(42278,42289) = ( 42278 × 42289) / 1
LCM(42278,42289) = 1787894342 / 1
LCM(42278,42289) = 1787894342

Least Common Multiple (LCM) of 42278 and 42289 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42278 and 42289. First we will calculate the prime factors of 42278 and 42289.

Prime Factorization of 42278

Prime Factorization of 42289

Now multiplying the highest exponent prime factors to calculate the LCM of 42278 and 42289.

LCM(42278,42289) = 2¹ × 21139¹ × 13¹ × 3253¹
LCM(42278,42289) = 1787894342