What is the Least Common Multiple of 97700 and 97714?

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 97700 and 97714 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97700 and 97714, than apply into the LCM equation.

GCF(97700,97714) = 2
LCM(97700,97714) = ( 97700 × 97714) / 2
LCM(97700,97714) = 9546657800 / 2
LCM(97700,97714) = 4773328900

Least Common Multiple (LCM) of 97700 and 97714 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97700 and 97714. First we will calculate the prime factors of 97700 and 97714.

Prime Factorization of 97700

Prime Factorization of 97714

Now multiplying the highest exponent prime factors to calculate the LCM of 97700 and 97714.

LCM(97700,97714) = 2² × 5² × 977¹ × 48857¹
LCM(97700,97714) = 4773328900