What is the Least Common Multiple of 75544 and 75552?

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 75544 and 75552 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75544 and 75552, than apply into the LCM equation.

GCF(75544,75552) = 8
LCM(75544,75552) = ( 75544 × 75552) / 8
LCM(75544,75552) = 5707500288 / 8
LCM(75544,75552) = 713437536

Least Common Multiple (LCM) of 75544 and 75552 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75544 and 75552. First we will calculate the prime factors of 75544 and 75552.

Prime Factorization of 75544

Prime Factorization of 75552

Now multiplying the highest exponent prime factors to calculate the LCM of 75544 and 75552.

LCM(75544,75552) = 2⁵ × 7¹ × 19¹ × 71¹ × 3¹ × 787¹
LCM(75544,75552) = 713437536