What is the Least Common Multiple of 95516 and 95534?

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 95516 and 95534 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95516 and 95534, than apply into the LCM equation.

GCF(95516,95534) = 2
LCM(95516,95534) = ( 95516 × 95534) / 2
LCM(95516,95534) = 9125025544 / 2
LCM(95516,95534) = 4562512772

Least Common Multiple (LCM) of 95516 and 95534 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95516 and 95534. First we will calculate the prime factors of 95516 and 95534.

Prime Factorization of 95516

Prime Factorization of 95534

Now multiplying the highest exponent prime factors to calculate the LCM of 95516 and 95534.

LCM(95516,95534) = 2² × 23879¹ × 37¹ × 1291¹
LCM(95516,95534) = 4562512772