What is the Least Common Multiple of 95985 and 96003?

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 96003 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 96003, than apply into the LCM equation.

GCF(95985,96003) = 9
LCM(95985,96003) = ( 95985 × 96003) / 9
LCM(95985,96003) = 9214847955 / 9
LCM(95985,96003) = 1023871995

Least Common Multiple (LCM) of 95985 and 96003 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95985 and 96003. First we will calculate the prime factors of 95985 and 96003.

Prime Factorization of 95985

Prime Factorization of 96003

Now multiplying the highest exponent prime factors to calculate the LCM of 95985 and 96003.

LCM(95985,96003) = 3⁵ × 5¹ × 79¹ × 10667¹
LCM(95985,96003) = 1023871995