What is the Least Common Multiple of 68088 and 68098?

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 68088 and 68098 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68088 and 68098, than apply into the LCM equation.

GCF(68088,68098) = 2
LCM(68088,68098) = ( 68088 × 68098) / 2
LCM(68088,68098) = 4636656624 / 2
LCM(68088,68098) = 2318328312

Least Common Multiple (LCM) of 68088 and 68098 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68088 and 68098. First we will calculate the prime factors of 68088 and 68098.

Prime Factorization of 68088

Prime Factorization of 68098

Now multiplying the highest exponent prime factors to calculate the LCM of 68088 and 68098.

LCM(68088,68098) = 2³ × 3¹ × 2837¹ × 79¹ × 431¹
LCM(68088,68098) = 2318328312