What is the Least Common Multiple of 69938 and 69956?

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 69938 and 69956 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69938 and 69956, than apply into the LCM equation.

GCF(69938,69956) = 2
LCM(69938,69956) = ( 69938 × 69956) / 2
LCM(69938,69956) = 4892582728 / 2
LCM(69938,69956) = 2446291364

Least Common Multiple (LCM) of 69938 and 69956 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69938 and 69956. First we will calculate the prime factors of 69938 and 69956.

Prime Factorization of 69938

Prime Factorization of 69956

Now multiplying the highest exponent prime factors to calculate the LCM of 69938 and 69956.

LCM(69938,69956) = 2² × 11² × 17² × 17489¹
LCM(69938,69956) = 2446291364