What is the Least Common Multiple of 67328 and 67340?

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 67328 and 67340 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67328 and 67340, than apply into the LCM equation.

GCF(67328,67340) = 4
LCM(67328,67340) = ( 67328 × 67340) / 4
LCM(67328,67340) = 4533867520 / 4
LCM(67328,67340) = 1133466880

Least Common Multiple (LCM) of 67328 and 67340 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67328 and 67340. First we will calculate the prime factors of 67328 and 67340.

Prime Factorization of 67328

Prime Factorization of 67340

Now multiplying the highest exponent prime factors to calculate the LCM of 67328 and 67340.

LCM(67328,67340) = 2⁸ × 263¹ × 5¹ × 7¹ × 13¹ × 37¹
LCM(67328,67340) = 1133466880