What is the Least Common Multiple of 98658 and 98669?

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 98658 and 98669 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98658 and 98669, than apply into the LCM equation.

GCF(98658,98669) = 1
LCM(98658,98669) = ( 98658 × 98669) / 1
LCM(98658,98669) = 9734486202 / 1
LCM(98658,98669) = 9734486202

Least Common Multiple (LCM) of 98658 and 98669 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98658 and 98669. First we will calculate the prime factors of 98658 and 98669.

Prime Factorization of 98658

Prime Factorization of 98669

Now multiplying the highest exponent prime factors to calculate the LCM of 98658 and 98669.

LCM(98658,98669) = 2¹ × 3⁵ × 7¹ × 29¹ × 98669¹
LCM(98658,98669) = 9734486202