What is the Least Common Multiple of 79501 and 79505?

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 79501 and 79505 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79501 and 79505, than apply into the LCM equation.

GCF(79501,79505) = 1
LCM(79501,79505) = ( 79501 × 79505) / 1
LCM(79501,79505) = 6320727005 / 1
LCM(79501,79505) = 6320727005

Least Common Multiple (LCM) of 79501 and 79505 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79501 and 79505. First we will calculate the prime factors of 79501 and 79505.

Prime Factorization of 79501

Prime Factorization of 79505

Now multiplying the highest exponent prime factors to calculate the LCM of 79501 and 79505.

LCM(79501,79505) = 107¹ × 743¹ × 5¹ × 15901¹
LCM(79501,79505) = 6320727005