What is the Least Common Multiple of 98105 and 98119?

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 98105 and 98119 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98105 and 98119, than apply into the LCM equation.

GCF(98105,98119) = 7
LCM(98105,98119) = ( 98105 × 98119) / 7
LCM(98105,98119) = 9625964495 / 7
LCM(98105,98119) = 1375137785

Least Common Multiple (LCM) of 98105 and 98119 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98105 and 98119. First we will calculate the prime factors of 98105 and 98119.

Prime Factorization of 98105

Prime Factorization of 98119

Now multiplying the highest exponent prime factors to calculate the LCM of 98105 and 98119.

LCM(98105,98119) = 5¹ × 7¹ × 2803¹ × 107¹ × 131¹
LCM(98105,98119) = 1375137785