What is the Least Common Multiple of 75876 and 75888?

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 75876 and 75888 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75876 and 75888, than apply into the LCM equation.

GCF(75876,75888) = 12
LCM(75876,75888) = ( 75876 × 75888) / 12
LCM(75876,75888) = 5758077888 / 12
LCM(75876,75888) = 479839824

Least Common Multiple (LCM) of 75876 and 75888 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75876 and 75888. First we will calculate the prime factors of 75876 and 75888.

Prime Factorization of 75876

Prime Factorization of 75888

Now multiplying the highest exponent prime factors to calculate the LCM of 75876 and 75888.

LCM(75876,75888) = 2⁴ × 3² × 6323¹ × 17¹ × 31¹
LCM(75876,75888) = 479839824