What is the Least Common Multiple of 78753 and 78765?

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 78753 and 78765 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78753 and 78765, than apply into the LCM equation.

GCF(78753,78765) = 3
LCM(78753,78765) = ( 78753 × 78765) / 3
LCM(78753,78765) = 6202980045 / 3
LCM(78753,78765) = 2067660015

Least Common Multiple (LCM) of 78753 and 78765 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78753 and 78765. First we will calculate the prime factors of 78753 and 78765.

Prime Factorization of 78753

Prime Factorization of 78765

Now multiplying the highest exponent prime factors to calculate the LCM of 78753 and 78765.

LCM(78753,78765) = 3¹ × 26251¹ × 5¹ × 59¹ × 89¹
LCM(78753,78765) = 2067660015