What is the Least Common Multiple of 95536 and 95554?

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 95554 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 95554, than apply into the LCM equation.

GCF(95536,95554) = 2
LCM(95536,95554) = ( 95536 × 95554) / 2
LCM(95536,95554) = 9128846944 / 2
LCM(95536,95554) = 4564423472

Least Common Multiple (LCM) of 95536 and 95554 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95536 and 95554. First we will calculate the prime factors of 95536 and 95554.

Prime Factorization of 95536

Prime Factorization of 95554

Now multiplying the highest exponent prime factors to calculate the LCM of 95536 and 95554.

LCM(95536,95554) = 2⁴ × 7¹ × 853¹ × 47777¹
LCM(95536,95554) = 4564423472