What is the Least Common Multiple of 68944 and 68956?

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 68944 and 68956 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68944 and 68956, than apply into the LCM equation.

GCF(68944,68956) = 4
LCM(68944,68956) = ( 68944 × 68956) / 4
LCM(68944,68956) = 4754102464 / 4
LCM(68944,68956) = 1188525616

Least Common Multiple (LCM) of 68944 and 68956 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68944 and 68956. First we will calculate the prime factors of 68944 and 68956.

Prime Factorization of 68944

Prime Factorization of 68956

Now multiplying the highest exponent prime factors to calculate the LCM of 68944 and 68956.

LCM(68944,68956) = 2⁴ × 31¹ × 139¹ × 17239¹
LCM(68944,68956) = 1188525616