What is the Least Common Multiple of 64815 and 64824?

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 64824 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 64824, than apply into the LCM equation.

GCF(64815,64824) = 3
LCM(64815,64824) = ( 64815 × 64824) / 3
LCM(64815,64824) = 4201567560 / 3
LCM(64815,64824) = 1400522520

Least Common Multiple (LCM) of 64815 and 64824 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64815 and 64824. First we will calculate the prime factors of 64815 and 64824.

Prime Factorization of 64815

Prime Factorization of 64824

Now multiplying the highest exponent prime factors to calculate the LCM of 64815 and 64824.

LCM(64815,64824) = 3¹ × 5¹ × 29¹ × 149¹ × 2³ × 37¹ × 73¹
LCM(64815,64824) = 1400522520