What is the Least Common Multiple of 95760 and 95773?

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 95773 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 95773, than apply into the LCM equation.

GCF(95760,95773) = 1
LCM(95760,95773) = ( 95760 × 95773) / 1
LCM(95760,95773) = 9171222480 / 1
LCM(95760,95773) = 9171222480

Least Common Multiple (LCM) of 95760 and 95773 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95760 and 95773. First we will calculate the prime factors of 95760 and 95773.

Prime Factorization of 95760

Prime Factorization of 95773

Now multiplying the highest exponent prime factors to calculate the LCM of 95760 and 95773.

LCM(95760,95773) = 2⁴ × 3² × 5¹ × 7¹ × 19¹ × 95773¹
LCM(95760,95773) = 9171222480