What is the Least Common Multiple of 47038 and 47052?

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 47038 and 47052 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47038 and 47052, than apply into the LCM equation.

GCF(47038,47052) = 2
LCM(47038,47052) = ( 47038 × 47052) / 2
LCM(47038,47052) = 2213231976 / 2
LCM(47038,47052) = 1106615988

Least Common Multiple (LCM) of 47038 and 47052 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47038 and 47052. First we will calculate the prime factors of 47038 and 47052.

Prime Factorization of 47038

Prime Factorization of 47052

Now multiplying the highest exponent prime factors to calculate the LCM of 47038 and 47052.

LCM(47038,47052) = 2² × 29¹ × 811¹ × 3² × 1307¹
LCM(47038,47052) = 1106615988