What is the Least Common Multiple of 60069 and 60078?

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 60069 and 60078 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60069 and 60078, than apply into the LCM equation.

GCF(60069,60078) = 3
LCM(60069,60078) = ( 60069 × 60078) / 3
LCM(60069,60078) = 3608825382 / 3
LCM(60069,60078) = 1202941794

Least Common Multiple (LCM) of 60069 and 60078 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60069 and 60078. First we will calculate the prime factors of 60069 and 60078.

Prime Factorization of 60069

Prime Factorization of 60078

Now multiplying the highest exponent prime factors to calculate the LCM of 60069 and 60078.

LCM(60069,60078) = 3¹ × 20023¹ × 2¹ × 17¹ × 19¹ × 31¹
LCM(60069,60078) = 1202941794