What is the Least Common Multiple of 51102 and 51115?

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 51102 and 51115 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51102 and 51115, than apply into the LCM equation.

GCF(51102,51115) = 1
LCM(51102,51115) = ( 51102 × 51115) / 1
LCM(51102,51115) = 2612078730 / 1
LCM(51102,51115) = 2612078730

Least Common Multiple (LCM) of 51102 and 51115 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51102 and 51115. First we will calculate the prime factors of 51102 and 51115.

Prime Factorization of 51102

Prime Factorization of 51115

Now multiplying the highest exponent prime factors to calculate the LCM of 51102 and 51115.

LCM(51102,51115) = 2¹ × 3² × 17¹ × 167¹ × 5¹ × 10223¹
LCM(51102,51115) = 2612078730