What is the Least Common Multiple of 64449 and 64460?

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 64449 and 64460 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64449 and 64460, than apply into the LCM equation.

GCF(64449,64460) = 11
LCM(64449,64460) = ( 64449 × 64460) / 11
LCM(64449,64460) = 4154382540 / 11
LCM(64449,64460) = 377671140

Least Common Multiple (LCM) of 64449 and 64460 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64449 and 64460. First we will calculate the prime factors of 64449 and 64460.

Prime Factorization of 64449

Prime Factorization of 64460

Now multiplying the highest exponent prime factors to calculate the LCM of 64449 and 64460.

LCM(64449,64460) = 3³ × 7¹ × 11¹ × 31¹ × 2² × 5¹ × 293¹
LCM(64449,64460) = 377671140