What is the Least Common Multiple of 80170 and 80190?

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 80170 and 80190 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80170 and 80190, than apply into the LCM equation.

GCF(80170,80190) = 10
LCM(80170,80190) = ( 80170 × 80190) / 10
LCM(80170,80190) = 6428832300 / 10
LCM(80170,80190) = 642883230

Least Common Multiple (LCM) of 80170 and 80190 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80170 and 80190. First we will calculate the prime factors of 80170 and 80190.

Prime Factorization of 80170

Prime Factorization of 80190

Now multiplying the highest exponent prime factors to calculate the LCM of 80170 and 80190.

LCM(80170,80190) = 2¹ × 5¹ × 8017¹ × 3⁶ × 11¹
LCM(80170,80190) = 642883230