What is the Least Common Multiple of 98961 and 98974?

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 98961 and 98974 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98961 and 98974, than apply into the LCM equation.

GCF(98961,98974) = 1
LCM(98961,98974) = ( 98961 × 98974) / 1
LCM(98961,98974) = 9794566014 / 1
LCM(98961,98974) = 9794566014

Least Common Multiple (LCM) of 98961 and 98974 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98961 and 98974. First we will calculate the prime factors of 98961 and 98974.

Prime Factorization of 98961

Prime Factorization of 98974

Now multiplying the highest exponent prime factors to calculate the LCM of 98961 and 98974.

LCM(98961,98974) = 3¹ × 32987¹ × 2¹ × 17¹ × 41¹ × 71¹
LCM(98961,98974) = 9794566014