What is the Least Common Multiple of 95888 and 95904?

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 95888 and 95904 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95888 and 95904, than apply into the LCM equation.

GCF(95888,95904) = 16
LCM(95888,95904) = ( 95888 × 95904) / 16
LCM(95888,95904) = 9196042752 / 16
LCM(95888,95904) = 574752672

Least Common Multiple (LCM) of 95888 and 95904 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95888 and 95904. First we will calculate the prime factors of 95888 and 95904.

Prime Factorization of 95888

Prime Factorization of 95904

Now multiplying the highest exponent prime factors to calculate the LCM of 95888 and 95904.

LCM(95888,95904) = 2⁵ × 13¹ × 461¹ × 3⁴ × 37¹
LCM(95888,95904) = 574752672