What is the Least Common Multiple of 97100 and 97114?

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 97100 and 97114 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97100 and 97114, than apply into the LCM equation.

GCF(97100,97114) = 2
LCM(97100,97114) = ( 97100 × 97114) / 2
LCM(97100,97114) = 9429769400 / 2
LCM(97100,97114) = 4714884700

Least Common Multiple (LCM) of 97100 and 97114 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97100 and 97114. First we will calculate the prime factors of 97100 and 97114.

Prime Factorization of 97100

Prime Factorization of 97114

Now multiplying the highest exponent prime factors to calculate the LCM of 97100 and 97114.

LCM(97100,97114) = 2² × 5² × 971¹ × 59¹ × 823¹
LCM(97100,97114) = 4714884700