What is the Least Common Multiple of 68032 and 68046?

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 68032 and 68046 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68032 and 68046, than apply into the LCM equation.

GCF(68032,68046) = 2
LCM(68032,68046) = ( 68032 × 68046) / 2
LCM(68032,68046) = 4629305472 / 2
LCM(68032,68046) = 2314652736

Least Common Multiple (LCM) of 68032 and 68046 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68032 and 68046. First we will calculate the prime factors of 68032 and 68046.

Prime Factorization of 68032

Prime Factorization of 68046

Now multiplying the highest exponent prime factors to calculate the LCM of 68032 and 68046.

LCM(68032,68046) = 2⁶ × 1063¹ × 3¹ × 11¹ × 1031¹
LCM(68032,68046) = 2314652736