What is the Least Common Multiple of 42279 and 42296?

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 42279 and 42296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42279 and 42296, than apply into the LCM equation.

GCF(42279,42296) = 17
LCM(42279,42296) = ( 42279 × 42296) / 17
LCM(42279,42296) = 1788232584 / 17
LCM(42279,42296) = 105190152

Least Common Multiple (LCM) of 42279 and 42296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42279 and 42296. First we will calculate the prime factors of 42279 and 42296.

Prime Factorization of 42279

Prime Factorization of 42296

Now multiplying the highest exponent prime factors to calculate the LCM of 42279 and 42296.

LCM(42279,42296) = 3¹ × 17¹ × 829¹ × 2³ × 311¹
LCM(42279,42296) = 105190152