What is the Least Common Multiple of 64280 and 64296?

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 64280 and 64296 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64280 and 64296, than apply into the LCM equation.

GCF(64280,64296) = 8
LCM(64280,64296) = ( 64280 × 64296) / 8
LCM(64280,64296) = 4132946880 / 8
LCM(64280,64296) = 516618360

Least Common Multiple (LCM) of 64280 and 64296 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64280 and 64296. First we will calculate the prime factors of 64280 and 64296.

Prime Factorization of 64280

Prime Factorization of 64296

Now multiplying the highest exponent prime factors to calculate the LCM of 64280 and 64296.

LCM(64280,64296) = 2³ × 5¹ × 1607¹ × 3² × 19¹ × 47¹
LCM(64280,64296) = 516618360