What is the Least Common Multiple of 78544 and 78552?

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 78544 and 78552 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78544 and 78552, than apply into the LCM equation.

GCF(78544,78552) = 8
LCM(78544,78552) = ( 78544 × 78552) / 8
LCM(78544,78552) = 6169788288 / 8
LCM(78544,78552) = 771223536

Least Common Multiple (LCM) of 78544 and 78552 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78544 and 78552. First we will calculate the prime factors of 78544 and 78552.

Prime Factorization of 78544

Prime Factorization of 78552

Now multiplying the highest exponent prime factors to calculate the LCM of 78544 and 78552.

LCM(78544,78552) = 2⁴ × 4909¹ × 3² × 1091¹
LCM(78544,78552) = 771223536