What is the Least Common Multiple of 66304 and 66310?

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 66304 and 66310 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66304 and 66310, than apply into the LCM equation.

GCF(66304,66310) = 2
LCM(66304,66310) = ( 66304 × 66310) / 2
LCM(66304,66310) = 4396618240 / 2
LCM(66304,66310) = 2198309120

Least Common Multiple (LCM) of 66304 and 66310 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66304 and 66310. First we will calculate the prime factors of 66304 and 66310.

Prime Factorization of 66304

Prime Factorization of 66310

Now multiplying the highest exponent prime factors to calculate the LCM of 66304 and 66310.

LCM(66304,66310) = 2⁸ × 7¹ × 37¹ × 5¹ × 19¹ × 349¹
LCM(66304,66310) = 2198309120