What is the Least Common Multiple of 79901 and 79918?

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 79901 and 79918 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79901 and 79918, than apply into the LCM equation.

GCF(79901,79918) = 1
LCM(79901,79918) = ( 79901 × 79918) / 1
LCM(79901,79918) = 6385528118 / 1
LCM(79901,79918) = 6385528118

Least Common Multiple (LCM) of 79901 and 79918 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79901 and 79918. First we will calculate the prime factors of 79901 and 79918.

Prime Factorization of 79901

Prime Factorization of 79918

Now multiplying the highest exponent prime factors to calculate the LCM of 79901 and 79918.

LCM(79901,79918) = 79901¹ × 2¹ × 31¹ × 1289¹
LCM(79901,79918) = 6385528118