What is the Least Common Multiple of 64899 and 64914?

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 64899 and 64914 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64899 and 64914, than apply into the LCM equation.

GCF(64899,64914) = 3
LCM(64899,64914) = ( 64899 × 64914) / 3
LCM(64899,64914) = 4212853686 / 3
LCM(64899,64914) = 1404284562

Least Common Multiple (LCM) of 64899 and 64914 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64899 and 64914. First we will calculate the prime factors of 64899 and 64914.

Prime Factorization of 64899

Prime Factorization of 64914

Now multiplying the highest exponent prime factors to calculate the LCM of 64899 and 64914.

LCM(64899,64914) = 3² × 7211¹ × 2¹ × 31¹ × 349¹
LCM(64899,64914) = 1404284562