What is the Least Common Multiple of 42978 and 42996?

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 42996 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 42996, than apply into the LCM equation.

GCF(42978,42996) = 6
LCM(42978,42996) = ( 42978 × 42996) / 6
LCM(42978,42996) = 1847882088 / 6
LCM(42978,42996) = 307980348

Least Common Multiple (LCM) of 42978 and 42996 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42978 and 42996. First we will calculate the prime factors of 42978 and 42996.

Prime Factorization of 42978

Prime Factorization of 42996

Now multiplying the highest exponent prime factors to calculate the LCM of 42978 and 42996.

LCM(42978,42996) = 2² × 3¹ × 13¹ × 19¹ × 29¹ × 3583¹
LCM(42978,42996) = 307980348