What is the Least Common Multiple of 67312 and 67321?

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 67312 and 67321 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67312 and 67321, than apply into the LCM equation.

GCF(67312,67321) = 1
LCM(67312,67321) = ( 67312 × 67321) / 1
LCM(67312,67321) = 4531511152 / 1
LCM(67312,67321) = 4531511152

Least Common Multiple (LCM) of 67312 and 67321 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67312 and 67321. First we will calculate the prime factors of 67312 and 67321.

Prime Factorization of 67312

Prime Factorization of 67321

Now multiplying the highest exponent prime factors to calculate the LCM of 67312 and 67321.

LCM(67312,67321) = 2⁴ × 7¹ × 601¹ × 23¹ × 2927¹
LCM(67312,67321) = 4531511152