What is the Least Common Multiple of 42959 and 42978?

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 42959 and 42978 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42959 and 42978, than apply into the LCM equation.

GCF(42959,42978) = 19
LCM(42959,42978) = ( 42959 × 42978) / 19
LCM(42959,42978) = 1846291902 / 19
LCM(42959,42978) = 97173258

Least Common Multiple (LCM) of 42959 and 42978 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42959 and 42978. First we will calculate the prime factors of 42959 and 42978.

Prime Factorization of 42959

Prime Factorization of 42978

Now multiplying the highest exponent prime factors to calculate the LCM of 42959 and 42978.

LCM(42959,42978) = 7¹ × 17¹ × 19² × 2¹ × 3¹ × 13¹ × 29¹
LCM(42959,42978) = 97173258