What is the Least Common Multiple of 64851 and 64860?

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 64851 and 64860 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64851 and 64860, than apply into the LCM equation.

GCF(64851,64860) = 3
LCM(64851,64860) = ( 64851 × 64860) / 3
LCM(64851,64860) = 4206235860 / 3
LCM(64851,64860) = 1402078620

Least Common Multiple (LCM) of 64851 and 64860 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64851 and 64860. First we will calculate the prime factors of 64851 and 64860.

Prime Factorization of 64851

Prime Factorization of 64860

Now multiplying the highest exponent prime factors to calculate the LCM of 64851 and 64860.

LCM(64851,64860) = 3¹ × 21617¹ × 2² × 5¹ × 23¹ × 47¹
LCM(64851,64860) = 1402078620