What is the Least Common Multiple of 42183 and 42197?

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 42183 and 42197 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42183 and 42197, than apply into the LCM equation.

GCF(42183,42197) = 1
LCM(42183,42197) = ( 42183 × 42197) / 1
LCM(42183,42197) = 1779996051 / 1
LCM(42183,42197) = 1779996051

Least Common Multiple (LCM) of 42183 and 42197 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42183 and 42197. First we will calculate the prime factors of 42183 and 42197.

Prime Factorization of 42183

Prime Factorization of 42197

Now multiplying the highest exponent prime factors to calculate the LCM of 42183 and 42197.

LCM(42183,42197) = 3² × 43¹ × 109¹ × 42197¹
LCM(42183,42197) = 1779996051