What is the Least Common Multiple of 87872 and 87882?

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 87872 and 87882 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87872 and 87882, than apply into the LCM equation.

GCF(87872,87882) = 2
LCM(87872,87882) = ( 87872 × 87882) / 2
LCM(87872,87882) = 7722367104 / 2
LCM(87872,87882) = 3861183552

Least Common Multiple (LCM) of 87872 and 87882 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87872 and 87882. First we will calculate the prime factors of 87872 and 87882.

Prime Factorization of 87872

Prime Factorization of 87882

Now multiplying the highest exponent prime factors to calculate the LCM of 87872 and 87882.

LCM(87872,87882) = 2⁶ × 1373¹ × 3¹ × 97¹ × 151¹
LCM(87872,87882) = 3861183552