What is the Least Common Multiple of 64305 and 64314?

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 64305 and 64314 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64305 and 64314, than apply into the LCM equation.

GCF(64305,64314) = 9
LCM(64305,64314) = ( 64305 × 64314) / 9
LCM(64305,64314) = 4135711770 / 9
LCM(64305,64314) = 459523530

Least Common Multiple (LCM) of 64305 and 64314 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64305 and 64314. First we will calculate the prime factors of 64305 and 64314.

Prime Factorization of 64305

Prime Factorization of 64314

Now multiplying the highest exponent prime factors to calculate the LCM of 64305 and 64314.

LCM(64305,64314) = 3⁴ × 5¹ × 1429¹ × 2¹ × 397¹
LCM(64305,64314) = 459523530