What is the Least Common Multiple of 42978 and 42986?

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 42978 and 42986 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42978 and 42986, than apply into the LCM equation.

GCF(42978,42986) = 2
LCM(42978,42986) = ( 42978 × 42986) / 2
LCM(42978,42986) = 1847452308 / 2
LCM(42978,42986) = 923726154

Least Common Multiple (LCM) of 42978 and 42986 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42978 and 42986. First we will calculate the prime factors of 42978 and 42986.

Prime Factorization of 42978

Prime Factorization of 42986

Now multiplying the highest exponent prime factors to calculate the LCM of 42978 and 42986.

LCM(42978,42986) = 2¹ × 3¹ × 13¹ × 19¹ × 29¹ × 21493¹
LCM(42978,42986) = 923726154