What is the Least Common Multiple of 42336 and 42347?

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 42336 and 42347 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42336 and 42347, than apply into the LCM equation.

GCF(42336,42347) = 1
LCM(42336,42347) = ( 42336 × 42347) / 1
LCM(42336,42347) = 1792802592 / 1
LCM(42336,42347) = 1792802592

Least Common Multiple (LCM) of 42336 and 42347 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42336 and 42347. First we will calculate the prime factors of 42336 and 42347.

Prime Factorization of 42336

Prime Factorization of 42347

Now multiplying the highest exponent prime factors to calculate the LCM of 42336 and 42347.

LCM(42336,42347) = 2⁵ × 3³ × 7² × 17¹ × 47¹ × 53¹
LCM(42336,42347) = 1792802592