What is the Least Common Multiple of 64860 and 64871?

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 64860 and 64871 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64860 and 64871, than apply into the LCM equation.

GCF(64860,64871) = 1
LCM(64860,64871) = ( 64860 × 64871) / 1
LCM(64860,64871) = 4207533060 / 1
LCM(64860,64871) = 4207533060

Least Common Multiple (LCM) of 64860 and 64871 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64860 and 64871. First we will calculate the prime factors of 64860 and 64871.

Prime Factorization of 64860

Prime Factorization of 64871

Now multiplying the highest exponent prime factors to calculate the LCM of 64860 and 64871.

LCM(64860,64871) = 2² × 3¹ × 5¹ × 23¹ × 47¹ × 64871¹
LCM(64860,64871) = 4207533060