What is the Least Common Multiple of 98705 and 98714?

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 98705 and 98714 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98705 and 98714, than apply into the LCM equation.

GCF(98705,98714) = 1
LCM(98705,98714) = ( 98705 × 98714) / 1
LCM(98705,98714) = 9743565370 / 1
LCM(98705,98714) = 9743565370

Least Common Multiple (LCM) of 98705 and 98714 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98705 and 98714. First we will calculate the prime factors of 98705 and 98714.

Prime Factorization of 98705

Prime Factorization of 98714

Now multiplying the highest exponent prime factors to calculate the LCM of 98705 and 98714.

LCM(98705,98714) = 5¹ × 19¹ × 1039¹ × 2¹ × 7¹ × 11¹ × 641¹
LCM(98705,98714) = 9743565370