What is the Least Common Multiple of 87892 and 87912?

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 87892 and 87912 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87892 and 87912, than apply into the LCM equation.

GCF(87892,87912) = 4
LCM(87892,87912) = ( 87892 × 87912) / 4
LCM(87892,87912) = 7726761504 / 4
LCM(87892,87912) = 1931690376

Least Common Multiple (LCM) of 87892 and 87912 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87892 and 87912. First we will calculate the prime factors of 87892 and 87912.

Prime Factorization of 87892

Prime Factorization of 87912

Now multiplying the highest exponent prime factors to calculate the LCM of 87892 and 87912.

LCM(87892,87912) = 2³ × 7¹ × 43¹ × 73¹ × 3³ × 11¹ × 37¹
LCM(87892,87912) = 1931690376