What is the Least Common Multiple of 87880 and 87890?

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 87880 and 87890 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87880 and 87890, than apply into the LCM equation.

GCF(87880,87890) = 10
LCM(87880,87890) = ( 87880 × 87890) / 10
LCM(87880,87890) = 7723773200 / 10
LCM(87880,87890) = 772377320

Least Common Multiple (LCM) of 87880 and 87890 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87880 and 87890. First we will calculate the prime factors of 87880 and 87890.

Prime Factorization of 87880

Prime Factorization of 87890

Now multiplying the highest exponent prime factors to calculate the LCM of 87880 and 87890.

LCM(87880,87890) = 2³ × 5¹ × 13³ × 11¹ × 17¹ × 47¹
LCM(87880,87890) = 772377320