What is the Least Common Multiple of 75574 and 75588?

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 75574 and 75588 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75574 and 75588, than apply into the LCM equation.

GCF(75574,75588) = 2
LCM(75574,75588) = ( 75574 × 75588) / 2
LCM(75574,75588) = 5712487512 / 2
LCM(75574,75588) = 2856243756

Least Common Multiple (LCM) of 75574 and 75588 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75574 and 75588. First we will calculate the prime factors of 75574 and 75588.

Prime Factorization of 75574

Prime Factorization of 75588

Now multiplying the highest exponent prime factors to calculate the LCM of 75574 and 75588.

LCM(75574,75588) = 2² × 29¹ × 1303¹ × 3¹ × 6299¹
LCM(75574,75588) = 2856243756