What is the Least Common Multiple of 95985 and 96005?

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 95985 and 96005 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95985 and 96005, than apply into the LCM equation.

GCF(95985,96005) = 5
LCM(95985,96005) = ( 95985 × 96005) / 5
LCM(95985,96005) = 9215039925 / 5
LCM(95985,96005) = 1843007985

Least Common Multiple (LCM) of 95985 and 96005 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95985 and 96005. First we will calculate the prime factors of 95985 and 96005.

Prime Factorization of 95985

Prime Factorization of 96005

Now multiplying the highest exponent prime factors to calculate the LCM of 95985 and 96005.

LCM(95985,96005) = 3⁵ × 5¹ × 79¹ × 7¹ × 13¹ × 211¹
LCM(95985,96005) = 1843007985