What is the Least Common Multiple of 73112 and 73121?

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 73112 and 73121 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73112 and 73121, than apply into the LCM equation.

GCF(73112,73121) = 1
LCM(73112,73121) = ( 73112 × 73121) / 1
LCM(73112,73121) = 5346022552 / 1
LCM(73112,73121) = 5346022552

Least Common Multiple (LCM) of 73112 and 73121 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73112 and 73121. First we will calculate the prime factors of 73112 and 73121.

Prime Factorization of 73112

Prime Factorization of 73121

Now multiplying the highest exponent prime factors to calculate the LCM of 73112 and 73121.

LCM(73112,73121) = 2³ × 13¹ × 19¹ × 37¹ × 73121¹
LCM(73112,73121) = 5346022552