What is the Least Common Multiple of 64330 and 64342?

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 64330 and 64342 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64330 and 64342, than apply into the LCM equation.

GCF(64330,64342) = 2
LCM(64330,64342) = ( 64330 × 64342) / 2
LCM(64330,64342) = 4139120860 / 2
LCM(64330,64342) = 2069560430

Least Common Multiple (LCM) of 64330 and 64342 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64330 and 64342. First we will calculate the prime factors of 64330 and 64342.

Prime Factorization of 64330

Prime Factorization of 64342

Now multiplying the highest exponent prime factors to calculate the LCM of 64330 and 64342.

LCM(64330,64342) = 2¹ × 5¹ × 7¹ × 919¹ × 53¹ × 607¹
LCM(64330,64342) = 2069560430