What is the Least Common Multiple of 79038 and 79053?

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 79038 and 79053 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79038 and 79053, than apply into the LCM equation.

GCF(79038,79053) = 3
LCM(79038,79053) = ( 79038 × 79053) / 3
LCM(79038,79053) = 6248191014 / 3
LCM(79038,79053) = 2082730338

Least Common Multiple (LCM) of 79038 and 79053 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79038 and 79053. First we will calculate the prime factors of 79038 and 79053.

Prime Factorization of 79038

Prime Factorization of 79053

Now multiplying the highest exponent prime factors to calculate the LCM of 79038 and 79053.

LCM(79038,79053) = 2¹ × 3² × 4391¹ × 13¹ × 2027¹
LCM(79038,79053) = 2082730338