What is the Least Common Multiple of 80080 and 80100?

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 80080 and 80100 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80080 and 80100, than apply into the LCM equation.

GCF(80080,80100) = 20
LCM(80080,80100) = ( 80080 × 80100) / 20
LCM(80080,80100) = 6414408000 / 20
LCM(80080,80100) = 320720400

Least Common Multiple (LCM) of 80080 and 80100 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80080 and 80100. First we will calculate the prime factors of 80080 and 80100.

Prime Factorization of 80080

Prime Factorization of 80100

Now multiplying the highest exponent prime factors to calculate the LCM of 80080 and 80100.

LCM(80080,80100) = 2⁴ × 5² × 7¹ × 11¹ × 13¹ × 3² × 89¹
LCM(80080,80100) = 320720400