What is the Least Common Multiple of 95535 and 95546?

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 95535 and 95546 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95535 and 95546, than apply into the LCM equation.

GCF(95535,95546) = 11
LCM(95535,95546) = ( 95535 × 95546) / 11
LCM(95535,95546) = 9127987110 / 11
LCM(95535,95546) = 829817010

Least Common Multiple (LCM) of 95535 and 95546 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95535 and 95546. First we will calculate the prime factors of 95535 and 95546.

Prime Factorization of 95535

Prime Factorization of 95546

Now multiplying the highest exponent prime factors to calculate the LCM of 95535 and 95546.

LCM(95535,95546) = 3² × 5¹ × 11¹ × 193¹ × 2¹ × 43¹ × 101¹
LCM(95535,95546) = 829817010