What is the Least Common Multiple of 95536 and 95548?

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 95536 and 95548 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95536 and 95548, than apply into the LCM equation.

GCF(95536,95548) = 4
LCM(95536,95548) = ( 95536 × 95548) / 4
LCM(95536,95548) = 9128273728 / 4
LCM(95536,95548) = 2282068432

Least Common Multiple (LCM) of 95536 and 95548 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95536 and 95548. First we will calculate the prime factors of 95536 and 95548.

Prime Factorization of 95536

Prime Factorization of 95548

Now multiplying the highest exponent prime factors to calculate the LCM of 95536 and 95548.

LCM(95536,95548) = 2⁴ × 7¹ × 853¹ × 23887¹
LCM(95536,95548) = 2282068432