What is the Least Common Multiple of 73102 and 73107?

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 73102 and 73107 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73102 and 73107, than apply into the LCM equation.

GCF(73102,73107) = 1
LCM(73102,73107) = ( 73102 × 73107) / 1
LCM(73102,73107) = 5344267914 / 1
LCM(73102,73107) = 5344267914

Least Common Multiple (LCM) of 73102 and 73107 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73102 and 73107. First we will calculate the prime factors of 73102 and 73107.

Prime Factorization of 73102

Prime Factorization of 73107

Now multiplying the highest exponent prime factors to calculate the LCM of 73102 and 73107.

LCM(73102,73107) = 2¹ × 36551¹ × 3² × 8123¹
LCM(73102,73107) = 5344267914