What is the Least Common Multiple of 53002 and 53006?

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 53002 and 53006 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53002 and 53006, than apply into the LCM equation.

GCF(53002,53006) = 2
LCM(53002,53006) = ( 53002 × 53006) / 2
LCM(53002,53006) = 2809424012 / 2
LCM(53002,53006) = 1404712006

Least Common Multiple (LCM) of 53002 and 53006 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53002 and 53006. First we will calculate the prime factors of 53002 and 53006.

Prime Factorization of 53002

Prime Factorization of 53006

Now multiplying the highest exponent prime factors to calculate the LCM of 53002 and 53006.

LCM(53002,53006) = 2¹ × 26501¹ × 17¹ × 1559¹
LCM(53002,53006) = 1404712006