What is the Least Common Multiple of 51105 and 51121?

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 51105 and 51121 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51105 and 51121, than apply into the LCM equation.

GCF(51105,51121) = 1
LCM(51105,51121) = ( 51105 × 51121) / 1
LCM(51105,51121) = 2612538705 / 1
LCM(51105,51121) = 2612538705

Least Common Multiple (LCM) of 51105 and 51121 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51105 and 51121. First we will calculate the prime factors of 51105 and 51121.

Prime Factorization of 51105

Prime Factorization of 51121

Now multiplying the highest exponent prime factors to calculate the LCM of 51105 and 51121.

LCM(51105,51121) = 3¹ × 5¹ × 3407¹ × 7¹ × 67¹ × 109¹
LCM(51105,51121) = 2612538705