What is the Least Common Multiple of 42978 and 42991?

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 42991 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 42991, than apply into the LCM equation.

GCF(42978,42991) = 13
LCM(42978,42991) = ( 42978 × 42991) / 13
LCM(42978,42991) = 1847667198 / 13
LCM(42978,42991) = 142128246

Least Common Multiple (LCM) of 42978 and 42991 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42978 and 42991. First we will calculate the prime factors of 42978 and 42991.

Prime Factorization of 42978

Prime Factorization of 42991

Now multiplying the highest exponent prime factors to calculate the LCM of 42978 and 42991.

LCM(42978,42991) = 2¹ × 3¹ × 13¹ × 19¹ × 29¹ × 3307¹
LCM(42978,42991) = 142128246