What is the Least Common Multiple of 98151 and 98169?

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 98151 and 98169 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98151 and 98169, than apply into the LCM equation.

GCF(98151,98169) = 3
LCM(98151,98169) = ( 98151 × 98169) / 3
LCM(98151,98169) = 9635385519 / 3
LCM(98151,98169) = 3211795173

Least Common Multiple (LCM) of 98151 and 98169 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98151 and 98169. First we will calculate the prime factors of 98151 and 98169.

Prime Factorization of 98151

Prime Factorization of 98169

Now multiplying the highest exponent prime factors to calculate the LCM of 98151 and 98169.

LCM(98151,98169) = 3¹ × 32717¹ × 43¹ × 761¹
LCM(98151,98169) = 3211795173