What is the Least Common Multiple of 78035 and 78055?

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 78035 and 78055 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78035 and 78055, than apply into the LCM equation.

GCF(78035,78055) = 5
LCM(78035,78055) = ( 78035 × 78055) / 5
LCM(78035,78055) = 6091021925 / 5
LCM(78035,78055) = 1218204385

Least Common Multiple (LCM) of 78035 and 78055 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78035 and 78055. First we will calculate the prime factors of 78035 and 78055.

Prime Factorization of 78035

Prime Factorization of 78055

Now multiplying the highest exponent prime factors to calculate the LCM of 78035 and 78055.

LCM(78035,78055) = 5¹ × 15607¹ × 67¹ × 233¹
LCM(78035,78055) = 1218204385