What is the Least Common Multiple of 95840 and 95845?

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 95840 and 95845 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95840 and 95845, than apply into the LCM equation.

GCF(95840,95845) = 5
LCM(95840,95845) = ( 95840 × 95845) / 5
LCM(95840,95845) = 9185784800 / 5
LCM(95840,95845) = 1837156960

Least Common Multiple (LCM) of 95840 and 95845 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95840 and 95845. First we will calculate the prime factors of 95840 and 95845.

Prime Factorization of 95840

Prime Factorization of 95845

Now multiplying the highest exponent prime factors to calculate the LCM of 95840 and 95845.

LCM(95840,95845) = 2⁵ × 5¹ × 599¹ × 29¹ × 661¹
LCM(95840,95845) = 1837156960