What is the Least Common Multiple of 80102 and 80117?

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 80102 and 80117 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80102 and 80117, than apply into the LCM equation.

GCF(80102,80117) = 1
LCM(80102,80117) = ( 80102 × 80117) / 1
LCM(80102,80117) = 6417531934 / 1
LCM(80102,80117) = 6417531934

Least Common Multiple (LCM) of 80102 and 80117 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80102 and 80117. First we will calculate the prime factors of 80102 and 80117.

Prime Factorization of 80102

Prime Factorization of 80117

Now multiplying the highest exponent prime factors to calculate the LCM of 80102 and 80117.

LCM(80102,80117) = 2¹ × 11² × 331¹ × 113¹ × 709¹
LCM(80102,80117) = 6417531934