What is the Least Common Multiple of 98730 and 98749?

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 98730 and 98749 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98730 and 98749, than apply into the LCM equation.

GCF(98730,98749) = 1
LCM(98730,98749) = ( 98730 × 98749) / 1
LCM(98730,98749) = 9749488770 / 1
LCM(98730,98749) = 9749488770

Least Common Multiple (LCM) of 98730 and 98749 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98730 and 98749. First we will calculate the prime factors of 98730 and 98749.

Prime Factorization of 98730

Prime Factorization of 98749

Now multiplying the highest exponent prime factors to calculate the LCM of 98730 and 98749.

LCM(98730,98749) = 2¹ × 3² × 5¹ × 1097¹ × 7¹ × 14107¹
LCM(98730,98749) = 9749488770