What is the Least Common Multiple of 69993 and 70012?

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 70012 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 70012, than apply into the LCM equation.

GCF(69993,70012) = 1
LCM(69993,70012) = ( 69993 × 70012) / 1
LCM(69993,70012) = 4900349916 / 1
LCM(69993,70012) = 4900349916

Least Common Multiple (LCM) of 69993 and 70012 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69993 and 70012. First we will calculate the prime factors of 69993 and 70012.

Prime Factorization of 69993

Prime Factorization of 70012

Now multiplying the highest exponent prime factors to calculate the LCM of 69993 and 70012.

LCM(69993,70012) = 3² × 7¹ × 11¹ × 101¹ × 2² × 23¹ × 761¹
LCM(69993,70012) = 4900349916