What is the Least Common Multiple of 98210 and 98224?

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 98210 and 98224 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98210 and 98224, than apply into the LCM equation.

GCF(98210,98224) = 14
LCM(98210,98224) = ( 98210 × 98224) / 14
LCM(98210,98224) = 9646579040 / 14
LCM(98210,98224) = 689041360

Least Common Multiple (LCM) of 98210 and 98224 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98210 and 98224. First we will calculate the prime factors of 98210 and 98224.

Prime Factorization of 98210

Prime Factorization of 98224

Now multiplying the highest exponent prime factors to calculate the LCM of 98210 and 98224.

LCM(98210,98224) = 2⁴ × 5¹ × 7¹ × 23¹ × 61¹ × 877¹
LCM(98210,98224) = 689041360