What is the Least Common Multiple of 78750 and 78755?

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 78750 and 78755 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78750 and 78755, than apply into the LCM equation.

GCF(78750,78755) = 5
LCM(78750,78755) = ( 78750 × 78755) / 5
LCM(78750,78755) = 6201956250 / 5
LCM(78750,78755) = 1240391250

Least Common Multiple (LCM) of 78750 and 78755 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78750 and 78755. First we will calculate the prime factors of 78750 and 78755.

Prime Factorization of 78750

Prime Factorization of 78755

Now multiplying the highest exponent prime factors to calculate the LCM of 78750 and 78755.

LCM(78750,78755) = 2¹ × 3² × 5⁴ × 7¹ × 19¹ × 829¹
LCM(78750,78755) = 1240391250