What is the Least Common Multiple of 78585 and 78603?

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 78585 and 78603 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78585 and 78603, than apply into the LCM equation.

GCF(78585,78603) = 3
LCM(78585,78603) = ( 78585 × 78603) / 3
LCM(78585,78603) = 6177016755 / 3
LCM(78585,78603) = 2059005585

Least Common Multiple (LCM) of 78585 and 78603 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78585 and 78603. First we will calculate the prime factors of 78585 and 78603.

Prime Factorization of 78585

Prime Factorization of 78603

Now multiplying the highest exponent prime factors to calculate the LCM of 78585 and 78603.

LCM(78585,78603) = 3¹ × 5¹ × 13² × 31¹ × 7¹ × 19¹ × 197¹
LCM(78585,78603) = 2059005585