What is the Least Common Multiple of 98458 and 98465?

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 98458 and 98465 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98458 and 98465, than apply into the LCM equation.

GCF(98458,98465) = 1
LCM(98458,98465) = ( 98458 × 98465) / 1
LCM(98458,98465) = 9694666970 / 1
LCM(98458,98465) = 9694666970

Least Common Multiple (LCM) of 98458 and 98465 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98458 and 98465. First we will calculate the prime factors of 98458 and 98465.

Prime Factorization of 98458

Prime Factorization of 98465

Now multiplying the highest exponent prime factors to calculate the LCM of 98458 and 98465.

LCM(98458,98465) = 2¹ × 19¹ × 2591¹ × 5¹ × 47¹ × 419¹
LCM(98458,98465) = 9694666970