What is the Least Common Multiple of 95760 and 95768?

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 95760 and 95768 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95760 and 95768, than apply into the LCM equation.

GCF(95760,95768) = 8
LCM(95760,95768) = ( 95760 × 95768) / 8
LCM(95760,95768) = 9170743680 / 8
LCM(95760,95768) = 1146342960

Least Common Multiple (LCM) of 95760 and 95768 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95760 and 95768. First we will calculate the prime factors of 95760 and 95768.

Prime Factorization of 95760

Prime Factorization of 95768

Now multiplying the highest exponent prime factors to calculate the LCM of 95760 and 95768.

LCM(95760,95768) = 2⁴ × 3² × 5¹ × 7¹ × 19¹ × 11971¹
LCM(95760,95768) = 1146342960