What is the Least Common Multiple of 48042 and 48057?

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 48042 and 48057 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48042 and 48057, than apply into the LCM equation.

GCF(48042,48057) = 3
LCM(48042,48057) = ( 48042 × 48057) / 3
LCM(48042,48057) = 2308754394 / 3
LCM(48042,48057) = 769584798

Least Common Multiple (LCM) of 48042 and 48057 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48042 and 48057. First we will calculate the prime factors of 48042 and 48057.

Prime Factorization of 48042

Prime Factorization of 48057

Now multiplying the highest exponent prime factors to calculate the LCM of 48042 and 48057.

LCM(48042,48057) = 2¹ × 3² × 17¹ × 157¹ × 83¹ × 193¹
LCM(48042,48057) = 769584798