What is the Least Common Multiple of 34968 and 34986?

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 34968 and 34986 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34968 and 34986, than apply into the LCM equation.

GCF(34968,34986) = 6
LCM(34968,34986) = ( 34968 × 34986) / 6
LCM(34968,34986) = 1223390448 / 6
LCM(34968,34986) = 203898408

Least Common Multiple (LCM) of 34968 and 34986 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34968 and 34986. First we will calculate the prime factors of 34968 and 34986.

Prime Factorization of 34968

Prime Factorization of 34986

Now multiplying the highest exponent prime factors to calculate the LCM of 34968 and 34986.

LCM(34968,34986) = 2³ × 3¹ × 31¹ × 47¹ × 7³ × 17¹
LCM(34968,34986) = 203898408