What is the Least Common Multiple of 97700 and 97708?

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 97708 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 97708, than apply into the LCM equation.

GCF(97700,97708) = 4
LCM(97700,97708) = ( 97700 × 97708) / 4
LCM(97700,97708) = 9546071600 / 4
LCM(97700,97708) = 2386517900

Least Common Multiple (LCM) of 97700 and 97708 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97700 and 97708. First we will calculate the prime factors of 97700 and 97708.

Prime Factorization of 97700

Prime Factorization of 97708

Now multiplying the highest exponent prime factors to calculate the LCM of 97700 and 97708.

LCM(97700,97708) = 2² × 5² × 977¹ × 13¹ × 1879¹
LCM(97700,97708) = 2386517900