What is the Least Common Multiple of 65352 and 65367?

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 65352 and 65367 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65352 and 65367, than apply into the LCM equation.

GCF(65352,65367) = 3
LCM(65352,65367) = ( 65352 × 65367) / 3
LCM(65352,65367) = 4271864184 / 3
LCM(65352,65367) = 1423954728

Least Common Multiple (LCM) of 65352 and 65367 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65352 and 65367. First we will calculate the prime factors of 65352 and 65367.

Prime Factorization of 65352

Prime Factorization of 65367

Now multiplying the highest exponent prime factors to calculate the LCM of 65352 and 65367.

LCM(65352,65367) = 2³ × 3⁵ × 7¹ × 389¹ × 269¹
LCM(65352,65367) = 1423954728