What is the Least Common Multiple of 51102 and 51119?

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 51119 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 51119, than apply into the LCM equation.

GCF(51102,51119) = 17
LCM(51102,51119) = ( 51102 × 51119) / 17
LCM(51102,51119) = 2612283138 / 17
LCM(51102,51119) = 153663714

Least Common Multiple (LCM) of 51102 and 51119 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51102 and 51119. First we will calculate the prime factors of 51102 and 51119.

Prime Factorization of 51102

Prime Factorization of 51119

Now multiplying the highest exponent prime factors to calculate the LCM of 51102 and 51119.

LCM(51102,51119) = 2¹ × 3² × 17¹ × 167¹ × 31¹ × 97¹
LCM(51102,51119) = 153663714