What is the Least Common Multiple of 42978 and 42998?

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 42998 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 42998, than apply into the LCM equation.

GCF(42978,42998) = 2
LCM(42978,42998) = ( 42978 × 42998) / 2
LCM(42978,42998) = 1847968044 / 2
LCM(42978,42998) = 923984022

Least Common Multiple (LCM) of 42978 and 42998 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42978 and 42998. First we will calculate the prime factors of 42978 and 42998.

Prime Factorization of 42978

Prime Factorization of 42998

Now multiplying the highest exponent prime factors to calculate the LCM of 42978 and 42998.

LCM(42978,42998) = 2¹ × 3¹ × 13¹ × 19¹ × 29¹ × 21499¹
LCM(42978,42998) = 923984022