What is the Least Common Multiple of 78040 and 78045?

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 78040 and 78045 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78040 and 78045, than apply into the LCM equation.

GCF(78040,78045) = 5
LCM(78040,78045) = ( 78040 × 78045) / 5
LCM(78040,78045) = 6090631800 / 5
LCM(78040,78045) = 1218126360

Least Common Multiple (LCM) of 78040 and 78045 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78040 and 78045. First we will calculate the prime factors of 78040 and 78045.

Prime Factorization of 78040

Prime Factorization of 78045

Now multiplying the highest exponent prime factors to calculate the LCM of 78040 and 78045.

LCM(78040,78045) = 2³ × 5¹ × 1951¹ × 3¹ × 11² × 43¹
LCM(78040,78045) = 1218126360