What is the Least Common Multiple of 98435 and 98450?

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 98435 and 98450 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98435 and 98450, than apply into the LCM equation.

GCF(98435,98450) = 5
LCM(98435,98450) = ( 98435 × 98450) / 5
LCM(98435,98450) = 9690925750 / 5
LCM(98435,98450) = 1938185150

Least Common Multiple (LCM) of 98435 and 98450 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98435 and 98450. First we will calculate the prime factors of 98435 and 98450.

Prime Factorization of 98435

Prime Factorization of 98450

Now multiplying the highest exponent prime factors to calculate the LCM of 98435 and 98450.

LCM(98435,98450) = 5² × 19687¹ × 2¹ × 11¹ × 179¹
LCM(98435,98450) = 1938185150