What is the Least Common Multiple of 98440 and 98458?

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 98440 and 98458 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98440 and 98458, than apply into the LCM equation.

GCF(98440,98458) = 2
LCM(98440,98458) = ( 98440 × 98458) / 2
LCM(98440,98458) = 9692205520 / 2
LCM(98440,98458) = 4846102760

Least Common Multiple (LCM) of 98440 and 98458 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98440 and 98458. First we will calculate the prime factors of 98440 and 98458.

Prime Factorization of 98440

Prime Factorization of 98458

Now multiplying the highest exponent prime factors to calculate the LCM of 98440 and 98458.

LCM(98440,98458) = 2³ × 5¹ × 23¹ × 107¹ × 19¹ × 2591¹
LCM(98440,98458) = 4846102760