What is the Least Common Multiple of 95880 and 95888?

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 95880 and 95888 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95880 and 95888, than apply into the LCM equation.

GCF(95880,95888) = 8
LCM(95880,95888) = ( 95880 × 95888) / 8
LCM(95880,95888) = 9193741440 / 8
LCM(95880,95888) = 1149217680

Least Common Multiple (LCM) of 95880 and 95888 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95880 and 95888. First we will calculate the prime factors of 95880 and 95888.

Prime Factorization of 95880

Prime Factorization of 95888

Now multiplying the highest exponent prime factors to calculate the LCM of 95880 and 95888.

LCM(95880,95888) = 2⁴ × 3¹ × 5¹ × 17¹ × 47¹ × 13¹ × 461¹
LCM(95880,95888) = 1149217680