What is the Least Common Multiple of 95754 and 95769?

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 95769 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 95769, than apply into the LCM equation.

GCF(95754,95769) = 3
LCM(95754,95769) = ( 95754 × 95769) / 3
LCM(95754,95769) = 9170264826 / 3
LCM(95754,95769) = 3056754942

Least Common Multiple (LCM) of 95754 and 95769 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95754 and 95769. First we will calculate the prime factors of 95754 and 95769.

Prime Factorization of 95754

Prime Factorization of 95769

Now multiplying the highest exponent prime factors to calculate the LCM of 95754 and 95769.

LCM(95754,95769) = 2¹ × 3³ × 15959¹ × 3547¹
LCM(95754,95769) = 3056754942