What is the Least Common Multiple of 98154 and 98173?

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 98154 and 98173 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98154 and 98173, than apply into the LCM equation.

GCF(98154,98173) = 19
LCM(98154,98173) = ( 98154 × 98173) / 19
LCM(98154,98173) = 9636072642 / 19
LCM(98154,98173) = 507161718

Least Common Multiple (LCM) of 98154 and 98173 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98154 and 98173. First we will calculate the prime factors of 98154 and 98173.

Prime Factorization of 98154

Prime Factorization of 98173

Now multiplying the highest exponent prime factors to calculate the LCM of 98154 and 98173.

LCM(98154,98173) = 2¹ × 3² × 7¹ × 19¹ × 41¹ × 5167¹
LCM(98154,98173) = 507161718