What is the Least Common Multiple of 68988 and 69003?

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 68988 and 69003 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68988 and 69003, than apply into the LCM equation.

GCF(68988,69003) = 3
LCM(68988,69003) = ( 68988 × 69003) / 3
LCM(68988,69003) = 4760378964 / 3
LCM(68988,69003) = 1586792988

Least Common Multiple (LCM) of 68988 and 69003 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68988 and 69003. First we will calculate the prime factors of 68988 and 69003.

Prime Factorization of 68988

Prime Factorization of 69003

Now multiplying the highest exponent prime factors to calculate the LCM of 68988 and 69003.

LCM(68988,69003) = 2² × 3² × 5749¹ × 11¹ × 17¹ × 41¹
LCM(68988,69003) = 1586792988