What is the Least Common Multiple of 95560 and 95565?

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 95560 and 95565 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95560 and 95565, than apply into the LCM equation.

GCF(95560,95565) = 5
LCM(95560,95565) = ( 95560 × 95565) / 5
LCM(95560,95565) = 9132191400 / 5
LCM(95560,95565) = 1826438280

Least Common Multiple (LCM) of 95560 and 95565 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95560 and 95565. First we will calculate the prime factors of 95560 and 95565.

Prime Factorization of 95560

Prime Factorization of 95565

Now multiplying the highest exponent prime factors to calculate the LCM of 95560 and 95565.

LCM(95560,95565) = 2³ × 5¹ × 2389¹ × 3¹ × 23¹ × 277¹
LCM(95560,95565) = 1826438280