What is the Least Common Multiple of 98758 and 98774?

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 98758 and 98774 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98758 and 98774, than apply into the LCM equation.

GCF(98758,98774) = 2
LCM(98758,98774) = ( 98758 × 98774) / 2
LCM(98758,98774) = 9754722692 / 2
LCM(98758,98774) = 4877361346

Least Common Multiple (LCM) of 98758 and 98774 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98758 and 98774. First we will calculate the prime factors of 98758 and 98774.

Prime Factorization of 98758

Prime Factorization of 98774

Now multiplying the highest exponent prime factors to calculate the LCM of 98758 and 98774.

LCM(98758,98774) = 2¹ × 11¹ × 67² × 13¹ × 29¹ × 131¹
LCM(98758,98774) = 4877361346