What is the Least Common Multiple of 98542 and 98549?

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 98542 and 98549 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98542 and 98549, than apply into the LCM equation.

GCF(98542,98549) = 1
LCM(98542,98549) = ( 98542 × 98549) / 1
LCM(98542,98549) = 9711215558 / 1
LCM(98542,98549) = 9711215558

Least Common Multiple (LCM) of 98542 and 98549 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98542 and 98549. First we will calculate the prime factors of 98542 and 98549.

Prime Factorization of 98542

Prime Factorization of 98549

Now multiplying the highest exponent prime factors to calculate the LCM of 98542 and 98549.

LCM(98542,98549) = 2¹ × 29¹ × 1699¹ × 11¹ × 17² × 31¹
LCM(98542,98549) = 9711215558