What is the Least Common Multiple of 34989 and 35008?

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 34989 and 35008 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34989 and 35008, than apply into the LCM equation.

GCF(34989,35008) = 1
LCM(34989,35008) = ( 34989 × 35008) / 1
LCM(34989,35008) = 1224894912 / 1
LCM(34989,35008) = 1224894912

Least Common Multiple (LCM) of 34989 and 35008 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34989 and 35008. First we will calculate the prime factors of 34989 and 35008.

Prime Factorization of 34989

Prime Factorization of 35008

Now multiplying the highest exponent prime factors to calculate the LCM of 34989 and 35008.

LCM(34989,35008) = 3¹ × 107¹ × 109¹ × 2⁶ × 547¹
LCM(34989,35008) = 1224894912