What is the Least Common Multiple of 42919 and 42937?

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 42919 and 42937 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42919 and 42937, than apply into the LCM equation.

GCF(42919,42937) = 1
LCM(42919,42937) = ( 42919 × 42937) / 1
LCM(42919,42937) = 1842813103 / 1
LCM(42919,42937) = 1842813103

Least Common Multiple (LCM) of 42919 and 42937 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42919 and 42937. First we will calculate the prime factors of 42919 and 42937.

Prime Factorization of 42919

Prime Factorization of 42937

Now multiplying the highest exponent prime factors to calculate the LCM of 42919 and 42937.

LCM(42919,42937) = 167¹ × 257¹ × 42937¹
LCM(42919,42937) = 1842813103