What is the Least Common Multiple of 97008 and 97022?

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 97008 and 97022 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97008 and 97022, than apply into the LCM equation.

GCF(97008,97022) = 2
LCM(97008,97022) = ( 97008 × 97022) / 2
LCM(97008,97022) = 9411910176 / 2
LCM(97008,97022) = 4705955088

Least Common Multiple (LCM) of 97008 and 97022 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97008 and 97022. First we will calculate the prime factors of 97008 and 97022.

Prime Factorization of 97008

Prime Factorization of 97022

Now multiplying the highest exponent prime factors to calculate the LCM of 97008 and 97022.

LCM(97008,97022) = 2⁴ × 3¹ × 43¹ × 47¹ × 139¹ × 349¹
LCM(97008,97022) = 4705955088