What is the Least Common Multiple of 64345 and 64350?

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 64345 and 64350 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64345 and 64350, than apply into the LCM equation.

GCF(64345,64350) = 5
LCM(64345,64350) = ( 64345 × 64350) / 5
LCM(64345,64350) = 4140600750 / 5
LCM(64345,64350) = 828120150

Least Common Multiple (LCM) of 64345 and 64350 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64345 and 64350. First we will calculate the prime factors of 64345 and 64350.

Prime Factorization of 64345

Prime Factorization of 64350

Now multiplying the highest exponent prime factors to calculate the LCM of 64345 and 64350.

LCM(64345,64350) = 5² × 17¹ × 757¹ × 2¹ × 3² × 11¹ × 13¹
LCM(64345,64350) = 828120150