What is the Least Common Multiple of 79864 and 79883?

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 79864 and 79883 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79864 and 79883, than apply into the LCM equation.

GCF(79864,79883) = 1
LCM(79864,79883) = ( 79864 × 79883) / 1
LCM(79864,79883) = 6379775912 / 1
LCM(79864,79883) = 6379775912

Least Common Multiple (LCM) of 79864 and 79883 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79864 and 79883. First we will calculate the prime factors of 79864 and 79883.

Prime Factorization of 79864

Prime Factorization of 79883

Now multiplying the highest exponent prime factors to calculate the LCM of 79864 and 79883.

LCM(79864,79883) = 2³ × 67¹ × 149¹ × 17¹ × 37¹ × 127¹
LCM(79864,79883) = 6379775912