What is the Least Common Multiple of 98224 and 98232?

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 98224 and 98232 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98224 and 98232, than apply into the LCM equation.

GCF(98224,98232) = 8
LCM(98224,98232) = ( 98224 × 98232) / 8
LCM(98224,98232) = 9648739968 / 8
LCM(98224,98232) = 1206092496

Least Common Multiple (LCM) of 98224 and 98232 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98224 and 98232. First we will calculate the prime factors of 98224 and 98232.

Prime Factorization of 98224

Prime Factorization of 98232

Now multiplying the highest exponent prime factors to calculate the LCM of 98224 and 98232.

LCM(98224,98232) = 2⁴ × 7¹ × 877¹ × 3¹ × 4093¹
LCM(98224,98232) = 1206092496