What is the Least Common Multiple of 69006 and 69013?

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 69006 and 69013 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69006 and 69013, than apply into the LCM equation.

GCF(69006,69013) = 7
LCM(69006,69013) = ( 69006 × 69013) / 7
LCM(69006,69013) = 4762311078 / 7
LCM(69006,69013) = 680330154

Least Common Multiple (LCM) of 69006 and 69013 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69006 and 69013. First we will calculate the prime factors of 69006 and 69013.

Prime Factorization of 69006

Prime Factorization of 69013

Now multiplying the highest exponent prime factors to calculate the LCM of 69006 and 69013.

LCM(69006,69013) = 2¹ × 3¹ × 7¹ × 31¹ × 53¹ × 9859¹
LCM(69006,69013) = 680330154