What is the Least Common Multiple of 65424 and 65438?

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 65424 and 65438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65424 and 65438, than apply into the LCM equation.

GCF(65424,65438) = 2
LCM(65424,65438) = ( 65424 × 65438) / 2
LCM(65424,65438) = 4281215712 / 2
LCM(65424,65438) = 2140607856

Least Common Multiple (LCM) of 65424 and 65438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65424 and 65438. First we will calculate the prime factors of 65424 and 65438.

Prime Factorization of 65424

Prime Factorization of 65438

Now multiplying the highest exponent prime factors to calculate the LCM of 65424 and 65438.

LCM(65424,65438) = 2⁴ × 3¹ × 29¹ × 47¹ × 32719¹
LCM(65424,65438) = 2140607856