What is the Least Common Multiple of 42296 and 42305?

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 42296 and 42305 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42296 and 42305, than apply into the LCM equation.

GCF(42296,42305) = 1
LCM(42296,42305) = ( 42296 × 42305) / 1
LCM(42296,42305) = 1789332280 / 1
LCM(42296,42305) = 1789332280

Least Common Multiple (LCM) of 42296 and 42305 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42296 and 42305. First we will calculate the prime factors of 42296 and 42305.

Prime Factorization of 42296

Prime Factorization of 42305

Now multiplying the highest exponent prime factors to calculate the LCM of 42296 and 42305.

LCM(42296,42305) = 2³ × 17¹ × 311¹ × 5¹ × 8461¹
LCM(42296,42305) = 1789332280