What is the Least Common Multiple of 64875 and 64893?

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 64875 and 64893 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64875 and 64893, than apply into the LCM equation.

GCF(64875,64893) = 3
LCM(64875,64893) = ( 64875 × 64893) / 3
LCM(64875,64893) = 4209933375 / 3
LCM(64875,64893) = 1403311125

Least Common Multiple (LCM) of 64875 and 64893 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64875 and 64893. First we will calculate the prime factors of 64875 and 64893.

Prime Factorization of 64875

Prime Factorization of 64893

Now multiplying the highest exponent prime factors to calculate the LCM of 64875 and 64893.

LCM(64875,64893) = 3¹ × 5³ × 173¹ × 97¹ × 223¹
LCM(64875,64893) = 1403311125