What is the Least Common Multiple of 45192 and 45199?

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 45192 and 45199 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45192 and 45199, than apply into the LCM equation.

GCF(45192,45199) = 7
LCM(45192,45199) = ( 45192 × 45199) / 7
LCM(45192,45199) = 2042633208 / 7
LCM(45192,45199) = 291804744

Least Common Multiple (LCM) of 45192 and 45199 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45192 and 45199. First we will calculate the prime factors of 45192 and 45199.

Prime Factorization of 45192

Prime Factorization of 45199

Now multiplying the highest exponent prime factors to calculate the LCM of 45192 and 45199.

LCM(45192,45199) = 2³ × 3¹ × 7¹ × 269¹ × 11¹ × 587¹
LCM(45192,45199) = 291804744