What is the Least Common Multiple of 80100 and 80112?

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 80100 and 80112 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80100 and 80112, than apply into the LCM equation.

GCF(80100,80112) = 12
LCM(80100,80112) = ( 80100 × 80112) / 12
LCM(80100,80112) = 6416971200 / 12
LCM(80100,80112) = 534747600

Least Common Multiple (LCM) of 80100 and 80112 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80100 and 80112. First we will calculate the prime factors of 80100 and 80112.

Prime Factorization of 80100

Prime Factorization of 80112

Now multiplying the highest exponent prime factors to calculate the LCM of 80100 and 80112.

LCM(80100,80112) = 2⁴ × 3² × 5² × 89¹ × 1669¹
LCM(80100,80112) = 534747600