What is the Least Common Multiple of 89985 and 90003?

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 89985 and 90003 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89985 and 90003, than apply into the LCM equation.

GCF(89985,90003) = 3
LCM(89985,90003) = ( 89985 × 90003) / 3
LCM(89985,90003) = 8098919955 / 3
LCM(89985,90003) = 2699639985

Least Common Multiple (LCM) of 89985 and 90003 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89985 and 90003. First we will calculate the prime factors of 89985 and 90003.

Prime Factorization of 89985

Prime Factorization of 90003

Now multiplying the highest exponent prime factors to calculate the LCM of 89985 and 90003.

LCM(89985,90003) = 3¹ × 5¹ × 7¹ × 857¹ × 19¹ × 1579¹
LCM(89985,90003) = 2699639985