What is the Least Common Multiple of 64860 and 64869?

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 64869 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 64869, than apply into the LCM equation.

GCF(64860,64869) = 3
LCM(64860,64869) = ( 64860 × 64869) / 3
LCM(64860,64869) = 4207403340 / 3
LCM(64860,64869) = 1402467780

Least Common Multiple (LCM) of 64860 and 64869 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64860 and 64869. First we will calculate the prime factors of 64860 and 64869.

Prime Factorization of 64860

Prime Factorization of 64869

Now multiplying the highest exponent prime factors to calculate the LCM of 64860 and 64869.

LCM(64860,64869) = 2² × 3¹ × 5¹ × 23¹ × 47¹ × 7¹ × 3089¹
LCM(64860,64869) = 1402467780