What is the Least Common Multiple of 80192 and 80204?

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 80192 and 80204 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80192 and 80204, than apply into the LCM equation.

GCF(80192,80204) = 4
LCM(80192,80204) = ( 80192 × 80204) / 4
LCM(80192,80204) = 6431719168 / 4
LCM(80192,80204) = 1607929792

Least Common Multiple (LCM) of 80192 and 80204 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80192 and 80204. First we will calculate the prime factors of 80192 and 80204.

Prime Factorization of 80192

Prime Factorization of 80204

Now multiplying the highest exponent prime factors to calculate the LCM of 80192 and 80204.

LCM(80192,80204) = 2⁶ × 7¹ × 179¹ × 20051¹
LCM(80192,80204) = 1607929792