What is the Least Common Multiple of 53006 and 53014?

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 53006 and 53014 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53006 and 53014, than apply into the LCM equation.

GCF(53006,53014) = 2
LCM(53006,53014) = ( 53006 × 53014) / 2
LCM(53006,53014) = 2810060084 / 2
LCM(53006,53014) = 1405030042

Least Common Multiple (LCM) of 53006 and 53014 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53006 and 53014. First we will calculate the prime factors of 53006 and 53014.

Prime Factorization of 53006

Prime Factorization of 53014

Now multiplying the highest exponent prime factors to calculate the LCM of 53006 and 53014.

LCM(53006,53014) = 2¹ × 17¹ × 1559¹ × 13¹ × 2039¹
LCM(53006,53014) = 1405030042