What is the Least Common Multiple of 42192 and 42199?

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 42192 and 42199 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42192 and 42199, than apply into the LCM equation.

GCF(42192,42199) = 1
LCM(42192,42199) = ( 42192 × 42199) / 1
LCM(42192,42199) = 1780460208 / 1
LCM(42192,42199) = 1780460208

Least Common Multiple (LCM) of 42192 and 42199 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42192 and 42199. First we will calculate the prime factors of 42192 and 42199.

Prime Factorization of 42192

Prime Factorization of 42199

Now multiplying the highest exponent prime factors to calculate the LCM of 42192 and 42199.

LCM(42192,42199) = 2⁴ × 3² × 293¹ × 19¹ × 2221¹
LCM(42192,42199) = 1780460208