What is the Least Common Multiple of 64325 and 64343?

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 64325 and 64343 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64325 and 64343, than apply into the LCM equation.

GCF(64325,64343) = 1
LCM(64325,64343) = ( 64325 × 64343) / 1
LCM(64325,64343) = 4138863475 / 1
LCM(64325,64343) = 4138863475

Least Common Multiple (LCM) of 64325 and 64343 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64325 and 64343. First we will calculate the prime factors of 64325 and 64343.

Prime Factorization of 64325

Prime Factorization of 64343

Now multiplying the highest exponent prime factors to calculate the LCM of 64325 and 64343.

LCM(64325,64343) = 5² × 31¹ × 83¹ × 37² × 47¹
LCM(64325,64343) = 4138863475