What is the Least Common Multiple of 98450 and 98456?

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 98450 and 98456 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98450 and 98456, than apply into the LCM equation.

GCF(98450,98456) = 2
LCM(98450,98456) = ( 98450 × 98456) / 2
LCM(98450,98456) = 9692993200 / 2
LCM(98450,98456) = 4846496600

Least Common Multiple (LCM) of 98450 and 98456 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98450 and 98456. First we will calculate the prime factors of 98450 and 98456.

Prime Factorization of 98450

Prime Factorization of 98456

Now multiplying the highest exponent prime factors to calculate the LCM of 98450 and 98456.

LCM(98450,98456) = 2³ × 5² × 11¹ × 179¹ × 31¹ × 397¹
LCM(98450,98456) = 4846496600