What is the Least Common Multiple of 78036 and 78052?

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 78036 and 78052 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78036 and 78052, than apply into the LCM equation.

GCF(78036,78052) = 4
LCM(78036,78052) = ( 78036 × 78052) / 4
LCM(78036,78052) = 6090865872 / 4
LCM(78036,78052) = 1522716468

Least Common Multiple (LCM) of 78036 and 78052 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78036 and 78052. First we will calculate the prime factors of 78036 and 78052.

Prime Factorization of 78036

Prime Factorization of 78052

Now multiplying the highest exponent prime factors to calculate the LCM of 78036 and 78052.

LCM(78036,78052) = 2² × 3¹ × 7¹ × 929¹ × 13¹ × 19¹ × 79¹
LCM(78036,78052) = 1522716468