What is the Least Common Multiple of 79053 and 79059?

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 79053 and 79059 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79053 and 79059, than apply into the LCM equation.

GCF(79053,79059) = 3
LCM(79053,79059) = ( 79053 × 79059) / 3
LCM(79053,79059) = 6249851127 / 3
LCM(79053,79059) = 2083283709

Least Common Multiple (LCM) of 79053 and 79059 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79053 and 79059. First we will calculate the prime factors of 79053 and 79059.

Prime Factorization of 79053

Prime Factorization of 79059

Now multiplying the highest exponent prime factors to calculate the LCM of 79053 and 79059.

LCM(79053,79059) = 3¹ × 13¹ × 2027¹ × 19² × 73¹
LCM(79053,79059) = 2083283709