What is the Least Common Multiple of 64335 and 64348?

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 64335 and 64348 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64335 and 64348, than apply into the LCM equation.

GCF(64335,64348) = 1
LCM(64335,64348) = ( 64335 × 64348) / 1
LCM(64335,64348) = 4139828580 / 1
LCM(64335,64348) = 4139828580

Least Common Multiple (LCM) of 64335 and 64348 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64335 and 64348. First we will calculate the prime factors of 64335 and 64348.

Prime Factorization of 64335

Prime Factorization of 64348

Now multiplying the highest exponent prime factors to calculate the LCM of 64335 and 64348.

LCM(64335,64348) = 3¹ × 5¹ × 4289¹ × 2² × 16087¹
LCM(64335,64348) = 4139828580