What is the Least Common Multiple of 42434 and 42454?

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 42434 and 42454 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42434 and 42454, than apply into the LCM equation.

GCF(42434,42454) = 2
LCM(42434,42454) = ( 42434 × 42454) / 2
LCM(42434,42454) = 1801493036 / 2
LCM(42434,42454) = 900746518

Least Common Multiple (LCM) of 42434 and 42454 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42434 and 42454. First we will calculate the prime factors of 42434 and 42454.

Prime Factorization of 42434

Prime Factorization of 42454

Now multiplying the highest exponent prime factors to calculate the LCM of 42434 and 42454.

LCM(42434,42454) = 2¹ × 7² × 433¹ × 21227¹
LCM(42434,42454) = 900746518