What is the Least Common Multiple of 95880 and 95890?

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 95890 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 95890, than apply into the LCM equation.

GCF(95880,95890) = 10
LCM(95880,95890) = ( 95880 × 95890) / 10
LCM(95880,95890) = 9193933200 / 10
LCM(95880,95890) = 919393320

Least Common Multiple (LCM) of 95880 and 95890 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95880 and 95890. First we will calculate the prime factors of 95880 and 95890.

Prime Factorization of 95880

Prime Factorization of 95890

Now multiplying the highest exponent prime factors to calculate the LCM of 95880 and 95890.

LCM(95880,95890) = 2³ × 3¹ × 5¹ × 17¹ × 47¹ × 43¹ × 223¹
LCM(95880,95890) = 919393320