What is the Least Common Multiple of 80160 and 80170?

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 80160 and 80170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80160 and 80170, than apply into the LCM equation.

GCF(80160,80170) = 10
LCM(80160,80170) = ( 80160 × 80170) / 10
LCM(80160,80170) = 6426427200 / 10
LCM(80160,80170) = 642642720

Least Common Multiple (LCM) of 80160 and 80170 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80160 and 80170. First we will calculate the prime factors of 80160 and 80170.

Prime Factorization of 80160

Prime Factorization of 80170

Now multiplying the highest exponent prime factors to calculate the LCM of 80160 and 80170.

LCM(80160,80170) = 2⁵ × 3¹ × 5¹ × 167¹ × 8017¹
LCM(80160,80170) = 642642720