What is the Least Common Multiple of 68320 and 68334?

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 68320 and 68334 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68320 and 68334, than apply into the LCM equation.

GCF(68320,68334) = 14
LCM(68320,68334) = ( 68320 × 68334) / 14
LCM(68320,68334) = 4668578880 / 14
LCM(68320,68334) = 333469920

Least Common Multiple (LCM) of 68320 and 68334 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68320 and 68334. First we will calculate the prime factors of 68320 and 68334.

Prime Factorization of 68320

Prime Factorization of 68334

Now multiplying the highest exponent prime factors to calculate the LCM of 68320 and 68334.

LCM(68320,68334) = 2⁵ × 5¹ × 7¹ × 61¹ × 3¹ × 1627¹
LCM(68320,68334) = 333469920