What is the Least Common Multiple of 97098 and 97102?

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 97098 and 97102 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97098 and 97102, than apply into the LCM equation.

GCF(97098,97102) = 2
LCM(97098,97102) = ( 97098 × 97102) / 2
LCM(97098,97102) = 9428409996 / 2
LCM(97098,97102) = 4714204998

Least Common Multiple (LCM) of 97098 and 97102 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97098 and 97102. First we will calculate the prime factors of 97098 and 97102.

Prime Factorization of 97098

Prime Factorization of 97102

Now multiplying the highest exponent prime factors to calculate the LCM of 97098 and 97102.

LCM(97098,97102) = 2¹ × 3¹ × 16183¹ × 47¹ × 1033¹
LCM(97098,97102) = 4714204998