What is the Least Common Multiple of 89178 and 89198?

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 89178 and 89198 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89178 and 89198, than apply into the LCM equation.

GCF(89178,89198) = 2
LCM(89178,89198) = ( 89178 × 89198) / 2
LCM(89178,89198) = 7954499244 / 2
LCM(89178,89198) = 3977249622

Least Common Multiple (LCM) of 89178 and 89198 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89178 and 89198. First we will calculate the prime factors of 89178 and 89198.

Prime Factorization of 89178

Prime Factorization of 89198

Now multiplying the highest exponent prime factors to calculate the LCM of 89178 and 89198.

LCM(89178,89198) = 2¹ × 3¹ × 89¹ × 167¹ × 103¹ × 433¹
LCM(89178,89198) = 3977249622