What is the Least Common Multiple of 69993 and 70008?

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 69993 and 70008 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69993 and 70008, than apply into the LCM equation.

GCF(69993,70008) = 3
LCM(69993,70008) = ( 69993 × 70008) / 3
LCM(69993,70008) = 4900069944 / 3
LCM(69993,70008) = 1633356648

Least Common Multiple (LCM) of 69993 and 70008 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69993 and 70008. First we will calculate the prime factors of 69993 and 70008.

Prime Factorization of 69993

Prime Factorization of 70008

Now multiplying the highest exponent prime factors to calculate the LCM of 69993 and 70008.

LCM(69993,70008) = 3² × 7¹ × 11¹ × 101¹ × 2³ × 2917¹
LCM(69993,70008) = 1633356648