What is the Least Common Multiple of 96102 and 96119?

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 96102 and 96119 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96102 and 96119, than apply into the LCM equation.

GCF(96102,96119) = 1
LCM(96102,96119) = ( 96102 × 96119) / 1
LCM(96102,96119) = 9237228138 / 1
LCM(96102,96119) = 9237228138

Least Common Multiple (LCM) of 96102 and 96119 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96102 and 96119. First we will calculate the prime factors of 96102 and 96119.

Prime Factorization of 96102

Prime Factorization of 96119

Now multiplying the highest exponent prime factors to calculate the LCM of 96102 and 96119.

LCM(96102,96119) = 2¹ × 3² × 19¹ × 281¹ × 277¹ × 347¹
LCM(96102,96119) = 9237228138