What is the Least Common Multiple of 80178 and 80192?

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 80178 and 80192 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80178 and 80192, than apply into the LCM equation.

GCF(80178,80192) = 14
LCM(80178,80192) = ( 80178 × 80192) / 14
LCM(80178,80192) = 6429634176 / 14
LCM(80178,80192) = 459259584

Least Common Multiple (LCM) of 80178 and 80192 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80178 and 80192. First we will calculate the prime factors of 80178 and 80192.

Prime Factorization of 80178

Prime Factorization of 80192

Now multiplying the highest exponent prime factors to calculate the LCM of 80178 and 80192.

LCM(80178,80192) = 2⁶ × 3¹ × 7¹ × 23¹ × 83¹ × 179¹
LCM(80178,80192) = 459259584