What is the Least Common Multiple of 73085 and 73102?

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 73085 and 73102 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73085 and 73102, than apply into the LCM equation.

GCF(73085,73102) = 1
LCM(73085,73102) = ( 73085 × 73102) / 1
LCM(73085,73102) = 5342659670 / 1
LCM(73085,73102) = 5342659670

Least Common Multiple (LCM) of 73085 and 73102 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73085 and 73102. First we will calculate the prime factors of 73085 and 73102.

Prime Factorization of 73085

Prime Factorization of 73102

Now multiplying the highest exponent prime factors to calculate the LCM of 73085 and 73102.

LCM(73085,73102) = 5¹ × 47¹ × 311¹ × 2¹ × 36551¹
LCM(73085,73102) = 5342659670