What is the Least Common Multiple of 87969 and 87975?

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 87969 and 87975 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87969 and 87975, than apply into the LCM equation.

GCF(87969,87975) = 3
LCM(87969,87975) = ( 87969 × 87975) / 3
LCM(87969,87975) = 7739072775 / 3
LCM(87969,87975) = 2579690925

Least Common Multiple (LCM) of 87969 and 87975 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87969 and 87975. First we will calculate the prime factors of 87969 and 87975.

Prime Factorization of 87969

Prime Factorization of 87975

Now multiplying the highest exponent prime factors to calculate the LCM of 87969 and 87975.

LCM(87969,87975) = 3² × 7¹ × 59¹ × 71¹ × 5² × 17¹ × 23¹
LCM(87969,87975) = 2579690925