What is the Least Common Multiple of 64800 and 64814?

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 64800 and 64814 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64800 and 64814, than apply into the LCM equation.

GCF(64800,64814) = 2
LCM(64800,64814) = ( 64800 × 64814) / 2
LCM(64800,64814) = 4199947200 / 2
LCM(64800,64814) = 2099973600

Least Common Multiple (LCM) of 64800 and 64814 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64800 and 64814. First we will calculate the prime factors of 64800 and 64814.

Prime Factorization of 64800

Prime Factorization of 64814

Now multiplying the highest exponent prime factors to calculate the LCM of 64800 and 64814.

LCM(64800,64814) = 2⁵ × 3⁴ × 5² × 23¹ × 1409¹
LCM(64800,64814) = 2099973600