What is the Least Common Multiple of 64400 and 64414?

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 64400 and 64414 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64400 and 64414, than apply into the LCM equation.

GCF(64400,64414) = 14
LCM(64400,64414) = ( 64400 × 64414) / 14
LCM(64400,64414) = 4148261600 / 14
LCM(64400,64414) = 296304400

Least Common Multiple (LCM) of 64400 and 64414 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64400 and 64414. First we will calculate the prime factors of 64400 and 64414.

Prime Factorization of 64400

Prime Factorization of 64414

Now multiplying the highest exponent prime factors to calculate the LCM of 64400 and 64414.

LCM(64400,64414) = 2⁴ × 5² × 7¹ × 23¹ × 43¹ × 107¹
LCM(64400,64414) = 296304400