What is the Least Common Multiple of 96998 and 97015?

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 96998 and 97015 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96998 and 97015, than apply into the LCM equation.

GCF(96998,97015) = 1
LCM(96998,97015) = ( 96998 × 97015) / 1
LCM(96998,97015) = 9410260970 / 1
LCM(96998,97015) = 9410260970

Least Common Multiple (LCM) of 96998 and 97015 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96998 and 97015. First we will calculate the prime factors of 96998 and 97015.

Prime Factorization of 96998

Prime Factorization of 97015

Now multiplying the highest exponent prime factors to calculate the LCM of 96998 and 97015.

LCM(96998,97015) = 2¹ × 11¹ × 4409¹ × 5¹ × 19403¹
LCM(96998,97015) = 9410260970