What is the Least Common Multiple of 64815 and 64835?

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 64815 and 64835 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64815 and 64835, than apply into the LCM equation.

GCF(64815,64835) = 5
LCM(64815,64835) = ( 64815 × 64835) / 5
LCM(64815,64835) = 4202280525 / 5
LCM(64815,64835) = 840456105

Least Common Multiple (LCM) of 64815 and 64835 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64815 and 64835. First we will calculate the prime factors of 64815 and 64835.

Prime Factorization of 64815

Prime Factorization of 64835

Now multiplying the highest exponent prime factors to calculate the LCM of 64815 and 64835.

LCM(64815,64835) = 3¹ × 5¹ × 29¹ × 149¹ × 12967¹
LCM(64815,64835) = 840456105