What is the Least Common Multiple of 73876 and 73888?

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 73876 and 73888 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73876 and 73888, than apply into the LCM equation.

GCF(73876,73888) = 4
LCM(73876,73888) = ( 73876 × 73888) / 4
LCM(73876,73888) = 5458549888 / 4
LCM(73876,73888) = 1364637472

Least Common Multiple (LCM) of 73876 and 73888 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73876 and 73888. First we will calculate the prime factors of 73876 and 73888.

Prime Factorization of 73876

Prime Factorization of 73888

Now multiplying the highest exponent prime factors to calculate the LCM of 73876 and 73888.

LCM(73876,73888) = 2⁵ × 11¹ × 23¹ × 73¹ × 2309¹
LCM(73876,73888) = 1364637472