What is the Least Common Multiple of 95680 and 95700?

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 95680 and 95700 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95680 and 95700, than apply into the LCM equation.

GCF(95680,95700) = 20
LCM(95680,95700) = ( 95680 × 95700) / 20
LCM(95680,95700) = 9156576000 / 20
LCM(95680,95700) = 457828800

Least Common Multiple (LCM) of 95680 and 95700 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95680 and 95700. First we will calculate the prime factors of 95680 and 95700.

Prime Factorization of 95680

Prime Factorization of 95700

Now multiplying the highest exponent prime factors to calculate the LCM of 95680 and 95700.

LCM(95680,95700) = 2⁶ × 5² × 13¹ × 23¹ × 3¹ × 11¹ × 29¹
LCM(95680,95700) = 457828800