What is the Least Common Multiple of 73192 and 73207?

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 73192 and 73207 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73192 and 73207, than apply into the LCM equation.

GCF(73192,73207) = 1
LCM(73192,73207) = ( 73192 × 73207) / 1
LCM(73192,73207) = 5358166744 / 1
LCM(73192,73207) = 5358166744

Least Common Multiple (LCM) of 73192 and 73207 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73192 and 73207. First we will calculate the prime factors of 73192 and 73207.

Prime Factorization of 73192

Prime Factorization of 73207

Now multiplying the highest exponent prime factors to calculate the LCM of 73192 and 73207.

LCM(73192,73207) = 2³ × 7¹ × 1307¹ × 19¹ × 3853¹
LCM(73192,73207) = 5358166744