What is the Least Common Multiple of 95754 and 95767?

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 95754 and 95767 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95754 and 95767, than apply into the LCM equation.

GCF(95754,95767) = 1
LCM(95754,95767) = ( 95754 × 95767) / 1
LCM(95754,95767) = 9170073318 / 1
LCM(95754,95767) = 9170073318

Least Common Multiple (LCM) of 95754 and 95767 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95754 and 95767. First we will calculate the prime factors of 95754 and 95767.

Prime Factorization of 95754

Prime Factorization of 95767

Now multiplying the highest exponent prime factors to calculate the LCM of 95754 and 95767.

LCM(95754,95767) = 2¹ × 3¹ × 15959¹ × 7¹ × 13681¹
LCM(95754,95767) = 9170073318