What is the Least Common Multiple of 98238 and 98246?

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 98238 and 98246 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98238 and 98246, than apply into the LCM equation.

GCF(98238,98246) = 2
LCM(98238,98246) = ( 98238 × 98246) / 2
LCM(98238,98246) = 9651490548 / 2
LCM(98238,98246) = 4825745274

Least Common Multiple (LCM) of 98238 and 98246 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98238 and 98246. First we will calculate the prime factors of 98238 and 98246.

Prime Factorization of 98238

Prime Factorization of 98246

Now multiplying the highest exponent prime factors to calculate the LCM of 98238 and 98246.

LCM(98238,98246) = 2¹ × 3¹ × 7¹ × 2339¹ × 49123¹
LCM(98238,98246) = 4825745274