What is the Least Common Multiple of 97100 and 97105?

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 97105 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 97105, than apply into the LCM equation.

GCF(97100,97105) = 5
LCM(97100,97105) = ( 97100 × 97105) / 5
LCM(97100,97105) = 9428895500 / 5
LCM(97100,97105) = 1885779100

Least Common Multiple (LCM) of 97100 and 97105 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97100 and 97105. First we will calculate the prime factors of 97100 and 97105.

Prime Factorization of 97100

Prime Factorization of 97105

Now multiplying the highest exponent prime factors to calculate the LCM of 97100 and 97105.

LCM(97100,97105) = 2² × 5² × 971¹ × 19421¹
LCM(97100,97105) = 1885779100