What is the Least Common Multiple of 75552 and 75556?

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 75552 and 75556 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75552 and 75556, than apply into the LCM equation.

GCF(75552,75556) = 4
LCM(75552,75556) = ( 75552 × 75556) / 4
LCM(75552,75556) = 5708406912 / 4
LCM(75552,75556) = 1427101728

Least Common Multiple (LCM) of 75552 and 75556 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75552 and 75556. First we will calculate the prime factors of 75552 and 75556.

Prime Factorization of 75552

Prime Factorization of 75556

Now multiplying the highest exponent prime factors to calculate the LCM of 75552 and 75556.

LCM(75552,75556) = 2⁵ × 3¹ × 787¹ × 13¹ × 1453¹
LCM(75552,75556) = 1427101728