What is the Least Common Multiple of 42834 and 42854?

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 42834 and 42854 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42834 and 42854, than apply into the LCM equation.

GCF(42834,42854) = 2
LCM(42834,42854) = ( 42834 × 42854) / 2
LCM(42834,42854) = 1835608236 / 2
LCM(42834,42854) = 917804118

Least Common Multiple (LCM) of 42834 and 42854 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42834 and 42854. First we will calculate the prime factors of 42834 and 42854.

Prime Factorization of 42834

Prime Factorization of 42854

Now multiplying the highest exponent prime factors to calculate the LCM of 42834 and 42854.

LCM(42834,42854) = 2¹ × 3¹ × 11² × 59¹ × 7¹ × 3061¹
LCM(42834,42854) = 917804118