What is the Least Common Multiple of 52002 and 52007?

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 52002 and 52007 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52002 and 52007, than apply into the LCM equation.

GCF(52002,52007) = 1
LCM(52002,52007) = ( 52002 × 52007) / 1
LCM(52002,52007) = 2704468014 / 1
LCM(52002,52007) = 2704468014

Least Common Multiple (LCM) of 52002 and 52007 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52002 and 52007. First we will calculate the prime factors of 52002 and 52007.

Prime Factorization of 52002

Prime Factorization of 52007

Now multiplying the highest exponent prime factors to calculate the LCM of 52002 and 52007.

LCM(52002,52007) = 2¹ × 3⁵ × 107¹ × 131¹ × 397¹
LCM(52002,52007) = 2704468014