What is the Least Common Multiple of 75470 and 75488?

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 75470 and 75488 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75470 and 75488, than apply into the LCM equation.

GCF(75470,75488) = 2
LCM(75470,75488) = ( 75470 × 75488) / 2
LCM(75470,75488) = 5697079360 / 2
LCM(75470,75488) = 2848539680

Least Common Multiple (LCM) of 75470 and 75488 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75470 and 75488. First we will calculate the prime factors of 75470 and 75488.

Prime Factorization of 75470

Prime Factorization of 75488

Now multiplying the highest exponent prime factors to calculate the LCM of 75470 and 75488.

LCM(75470,75488) = 2⁵ × 5¹ × 7547¹ × 7¹ × 337¹
LCM(75470,75488) = 2848539680