What is the Least Common Multiple of 96178 and 96198?

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 96178 and 96198 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96178 and 96198, than apply into the LCM equation.

GCF(96178,96198) = 2
LCM(96178,96198) = ( 96178 × 96198) / 2
LCM(96178,96198) = 9252131244 / 2
LCM(96178,96198) = 4626065622

Least Common Multiple (LCM) of 96178 and 96198 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96178 and 96198. First we will calculate the prime factors of 96178 and 96198.

Prime Factorization of 96178

Prime Factorization of 96198

Now multiplying the highest exponent prime factors to calculate the LCM of 96178 and 96198.

LCM(96178,96198) = 2¹ × 19¹ × 2531¹ × 3¹ × 16033¹
LCM(96178,96198) = 4626065622