What is the Least Common Multiple of 9102 and 9121?

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 9102 and 9121 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9102 and 9121, than apply into the LCM equation.

GCF(9102,9121) = 1
LCM(9102,9121) = ( 9102 × 9121) / 1
LCM(9102,9121) = 83019342 / 1
LCM(9102,9121) = 83019342

Least Common Multiple (LCM) of 9102 and 9121 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9102 and 9121. First we will calculate the prime factors of 9102 and 9121.

Prime Factorization of 9102

Prime Factorization of 9121

Now multiplying the highest exponent prime factors to calculate the LCM of 9102 and 9121.

LCM(9102,9121) = 2¹ × 3¹ × 37¹ × 41¹ × 7¹ × 1303¹
LCM(9102,9121) = 83019342