What is the Least Common Multiple of 98224 and 98236?

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 98236 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 98236, than apply into the LCM equation.

GCF(98224,98236) = 4
LCM(98224,98236) = ( 98224 × 98236) / 4
LCM(98224,98236) = 9649132864 / 4
LCM(98224,98236) = 2412283216

Least Common Multiple (LCM) of 98224 and 98236 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98224 and 98236. First we will calculate the prime factors of 98224 and 98236.

Prime Factorization of 98224

Prime Factorization of 98236

Now multiplying the highest exponent prime factors to calculate the LCM of 98224 and 98236.

LCM(98224,98236) = 2⁴ × 7¹ × 877¹ × 41¹ × 599¹
LCM(98224,98236) = 2412283216