What is the Least Common Multiple of 80176 and 80196?

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 80176 and 80196 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80176 and 80196, than apply into the LCM equation.

GCF(80176,80196) = 4
LCM(80176,80196) = ( 80176 × 80196) / 4
LCM(80176,80196) = 6429794496 / 4
LCM(80176,80196) = 1607448624

Least Common Multiple (LCM) of 80176 and 80196 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80176 and 80196. First we will calculate the prime factors of 80176 and 80196.

Prime Factorization of 80176

Prime Factorization of 80196

Now multiplying the highest exponent prime factors to calculate the LCM of 80176 and 80196.

LCM(80176,80196) = 2⁴ × 5011¹ × 3¹ × 41¹ × 163¹
LCM(80176,80196) = 1607448624