What is the Least Common Multiple of 79143 and 79149?

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 79143 and 79149 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79143 and 79149, than apply into the LCM equation.

GCF(79143,79149) = 3
LCM(79143,79149) = ( 79143 × 79149) / 3
LCM(79143,79149) = 6264089307 / 3
LCM(79143,79149) = 2088029769

Least Common Multiple (LCM) of 79143 and 79149 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79143 and 79149. First we will calculate the prime factors of 79143 and 79149.

Prime Factorization of 79143

Prime Factorization of 79149

Now multiplying the highest exponent prime factors to calculate the LCM of 79143 and 79149.

LCM(79143,79149) = 3¹ × 23¹ × 31¹ × 37¹ × 7¹ × 3769¹
LCM(79143,79149) = 2088029769