What is the Least Common Multiple of 98930 and 98947?

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 98930 and 98947 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98930 and 98947, than apply into the LCM equation.

GCF(98930,98947) = 1
LCM(98930,98947) = ( 98930 × 98947) / 1
LCM(98930,98947) = 9788826710 / 1
LCM(98930,98947) = 9788826710

Least Common Multiple (LCM) of 98930 and 98947 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98930 and 98947. First we will calculate the prime factors of 98930 and 98947.

Prime Factorization of 98930

Prime Factorization of 98947

Now multiplying the highest exponent prime factors to calculate the LCM of 98930 and 98947.

LCM(98930,98947) = 2¹ × 5¹ × 13¹ × 761¹ × 98947¹
LCM(98930,98947) = 9788826710