What is the Least Common Multiple of 78078 and 78097?

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 78078 and 78097 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78078 and 78097, than apply into the LCM equation.

GCF(78078,78097) = 1
LCM(78078,78097) = ( 78078 × 78097) / 1
LCM(78078,78097) = 6097657566 / 1
LCM(78078,78097) = 6097657566

Least Common Multiple (LCM) of 78078 and 78097 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78078 and 78097. First we will calculate the prime factors of 78078 and 78097.

Prime Factorization of 78078

Prime Factorization of 78097

Now multiplying the highest exponent prime factors to calculate the LCM of 78078 and 78097.

LCM(78078,78097) = 2¹ × 3¹ × 7¹ × 11¹ × 13² × 29¹ × 2693¹
LCM(78078,78097) = 6097657566