What is the Least Common Multiple of 96700 and 96715?

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 96700 and 96715 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96700 and 96715, than apply into the LCM equation.

GCF(96700,96715) = 5
LCM(96700,96715) = ( 96700 × 96715) / 5
LCM(96700,96715) = 9352340500 / 5
LCM(96700,96715) = 1870468100

Least Common Multiple (LCM) of 96700 and 96715 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96700 and 96715. First we will calculate the prime factors of 96700 and 96715.

Prime Factorization of 96700

Prime Factorization of 96715

Now multiplying the highest exponent prime factors to calculate the LCM of 96700 and 96715.

LCM(96700,96715) = 2² × 5² × 967¹ × 23¹ × 29²
LCM(96700,96715) = 1870468100