What is the Least Common Multiple of 98438 and 98446?

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 98438 and 98446 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98438 and 98446, than apply into the LCM equation.

GCF(98438,98446) = 2
LCM(98438,98446) = ( 98438 × 98446) / 2
LCM(98438,98446) = 9690827348 / 2
LCM(98438,98446) = 4845413674

Least Common Multiple (LCM) of 98438 and 98446 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98438 and 98446. First we will calculate the prime factors of 98438 and 98446.

Prime Factorization of 98438

Prime Factorization of 98446

Now multiplying the highest exponent prime factors to calculate the LCM of 98438 and 98446.

LCM(98438,98446) = 2¹ × 83¹ × 593¹ × 49223¹
LCM(98438,98446) = 4845413674