What is the Least Common Multiple of 98528 and 98546?

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 98528 and 98546 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98528 and 98546, than apply into the LCM equation.

GCF(98528,98546) = 2
LCM(98528,98546) = ( 98528 × 98546) / 2
LCM(98528,98546) = 9709540288 / 2
LCM(98528,98546) = 4854770144

Least Common Multiple (LCM) of 98528 and 98546 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98528 and 98546. First we will calculate the prime factors of 98528 and 98546.

Prime Factorization of 98528

Prime Factorization of 98546

Now multiplying the highest exponent prime factors to calculate the LCM of 98528 and 98546.

LCM(98528,98546) = 2⁵ × 3079¹ × 7¹ × 7039¹
LCM(98528,98546) = 4854770144