What is the Least Common Multiple of 69989 and 70009?

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 69989 and 70009 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69989 and 70009, than apply into the LCM equation.

GCF(69989,70009) = 1
LCM(69989,70009) = ( 69989 × 70009) / 1
LCM(69989,70009) = 4899859901 / 1
LCM(69989,70009) = 4899859901

Least Common Multiple (LCM) of 69989 and 70009 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69989 and 70009. First we will calculate the prime factors of 69989 and 70009.

Prime Factorization of 69989

Prime Factorization of 70009

Now multiplying the highest exponent prime factors to calculate the LCM of 69989 and 70009.

LCM(69989,70009) = 17¹ × 23¹ × 179¹ × 70009¹
LCM(69989,70009) = 4899859901