What is the Least Common Multiple of 64002 and 64010?

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 64002 and 64010 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64002 and 64010, than apply into the LCM equation.

GCF(64002,64010) = 2
LCM(64002,64010) = ( 64002 × 64010) / 2
LCM(64002,64010) = 4096768020 / 2
LCM(64002,64010) = 2048384010

Least Common Multiple (LCM) of 64002 and 64010 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64002 and 64010. First we will calculate the prime factors of 64002 and 64010.

Prime Factorization of 64002

Prime Factorization of 64010

Now multiplying the highest exponent prime factors to calculate the LCM of 64002 and 64010.

LCM(64002,64010) = 2¹ × 3¹ × 10667¹ × 5¹ × 37¹ × 173¹
LCM(64002,64010) = 2048384010