What is the Least Common Multiple of 87908 and 87927?

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 87908 and 87927 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87908 and 87927, than apply into the LCM equation.

GCF(87908,87927) = 1
LCM(87908,87927) = ( 87908 × 87927) / 1
LCM(87908,87927) = 7729486716 / 1
LCM(87908,87927) = 7729486716

Least Common Multiple (LCM) of 87908 and 87927 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87908 and 87927. First we will calculate the prime factors of 87908 and 87927.

Prime Factorization of 87908

Prime Factorization of 87927

Now multiplying the highest exponent prime factors to calculate the LCM of 87908 and 87927.

LCM(87908,87927) = 2² × 21977¹ × 3¹ × 7¹ × 53¹ × 79¹
LCM(87908,87927) = 7729486716