What is the Least Common Multiple of 69988 and 69993?

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 69988 and 69993 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69988 and 69993, than apply into the LCM equation.

GCF(69988,69993) = 1
LCM(69988,69993) = ( 69988 × 69993) / 1
LCM(69988,69993) = 4898670084 / 1
LCM(69988,69993) = 4898670084

Least Common Multiple (LCM) of 69988 and 69993 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69988 and 69993. First we will calculate the prime factors of 69988 and 69993.

Prime Factorization of 69988

Prime Factorization of 69993

Now multiplying the highest exponent prime factors to calculate the LCM of 69988 and 69993.

LCM(69988,69993) = 2² × 17497¹ × 3² × 7¹ × 11¹ × 101¹
LCM(69988,69993) = 4898670084