What is the Least Common Multiple of 98176 and 98186?

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 98176 and 98186 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98176 and 98186, than apply into the LCM equation.

GCF(98176,98186) = 2
LCM(98176,98186) = ( 98176 × 98186) / 2
LCM(98176,98186) = 9639508736 / 2
LCM(98176,98186) = 4819754368

Least Common Multiple (LCM) of 98176 and 98186 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98176 and 98186. First we will calculate the prime factors of 98176 and 98186.

Prime Factorization of 98176

Prime Factorization of 98186

Now multiplying the highest exponent prime factors to calculate the LCM of 98176 and 98186.

LCM(98176,98186) = 2⁷ × 13¹ × 59¹ × 11¹ × 4463¹
LCM(98176,98186) = 4819754368