What is the Least Common Multiple of 80678 and 80698?

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 80678 and 80698 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80678 and 80698, than apply into the LCM equation.

GCF(80678,80698) = 2
LCM(80678,80698) = ( 80678 × 80698) / 2
LCM(80678,80698) = 6510553244 / 2
LCM(80678,80698) = 3255276622

Least Common Multiple (LCM) of 80678 and 80698 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80678 and 80698. First we will calculate the prime factors of 80678 and 80698.

Prime Factorization of 80678

Prime Factorization of 80698

Now multiplying the highest exponent prime factors to calculate the LCM of 80678 and 80698.

LCM(80678,80698) = 2¹ × 13¹ × 29¹ × 107¹ × 157¹ × 257¹
LCM(80678,80698) = 3255276622