What is the Least Common Multiple of 79957 and 79973?

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 79957 and 79973 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79957 and 79973, than apply into the LCM equation.

GCF(79957,79973) = 1
LCM(79957,79973) = ( 79957 × 79973) / 1
LCM(79957,79973) = 6394401161 / 1
LCM(79957,79973) = 6394401161

Least Common Multiple (LCM) of 79957 and 79973 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79957 and 79973. First we will calculate the prime factors of 79957 and 79973.

Prime Factorization of 79957

Prime Factorization of 79973

Now multiplying the highest exponent prime factors to calculate the LCM of 79957 and 79973.

LCM(79957,79973) = 37¹ × 2161¹ × 79973¹
LCM(79957,79973) = 6394401161