What is the Least Common Multiple of 95760 and 95765?

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 95765 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 95765, than apply into the LCM equation.

GCF(95760,95765) = 5
LCM(95760,95765) = ( 95760 × 95765) / 5
LCM(95760,95765) = 9170456400 / 5
LCM(95760,95765) = 1834091280

Least Common Multiple (LCM) of 95760 and 95765 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95760 and 95765. First we will calculate the prime factors of 95760 and 95765.

Prime Factorization of 95760

Prime Factorization of 95765

Now multiplying the highest exponent prime factors to calculate the LCM of 95760 and 95765.

LCM(95760,95765) = 2⁴ × 3² × 5¹ × 7¹ × 19¹ × 107¹ × 179¹
LCM(95760,95765) = 1834091280