What is the Least Common Multiple of 62069 and 62078?

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 62069 and 62078 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62069 and 62078, than apply into the LCM equation.

GCF(62069,62078) = 1
LCM(62069,62078) = ( 62069 × 62078) / 1
LCM(62069,62078) = 3853119382 / 1
LCM(62069,62078) = 3853119382

Least Common Multiple (LCM) of 62069 and 62078 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62069 and 62078. First we will calculate the prime factors of 62069 and 62078.

Prime Factorization of 62069

Prime Factorization of 62078

Now multiplying the highest exponent prime factors to calculate the LCM of 62069 and 62078.

LCM(62069,62078) = 7¹ × 8867¹ × 2¹ × 31039¹
LCM(62069,62078) = 3853119382