What is the Least Common Multiple of 73100 and 73105?

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 73100 and 73105 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73100 and 73105, than apply into the LCM equation.

GCF(73100,73105) = 5
LCM(73100,73105) = ( 73100 × 73105) / 5
LCM(73100,73105) = 5343975500 / 5
LCM(73100,73105) = 1068795100

Least Common Multiple (LCM) of 73100 and 73105 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73100 and 73105. First we will calculate the prime factors of 73100 and 73105.

Prime Factorization of 73100

Prime Factorization of 73105

Now multiplying the highest exponent prime factors to calculate the LCM of 73100 and 73105.

LCM(73100,73105) = 2² × 5² × 17¹ × 43¹ × 14621¹
LCM(73100,73105) = 1068795100