What is the Least Common Multiple of 78648 and 78652?

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 78648 and 78652 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78648 and 78652, than apply into the LCM equation.

GCF(78648,78652) = 4
LCM(78648,78652) = ( 78648 × 78652) / 4
LCM(78648,78652) = 6185822496 / 4
LCM(78648,78652) = 1546455624

Least Common Multiple (LCM) of 78648 and 78652 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78648 and 78652. First we will calculate the prime factors of 78648 and 78652.

Prime Factorization of 78648

Prime Factorization of 78652

Now multiplying the highest exponent prime factors to calculate the LCM of 78648 and 78652.

LCM(78648,78652) = 2³ × 3¹ × 29¹ × 113¹ × 7¹ × 53²
LCM(78648,78652) = 1546455624