What is the Least Common Multiple of 47042 and 47054?

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 47042 and 47054 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47042 and 47054, than apply into the LCM equation.

GCF(47042,47054) = 2
LCM(47042,47054) = ( 47042 × 47054) / 2
LCM(47042,47054) = 2213514268 / 2
LCM(47042,47054) = 1106757134

Least Common Multiple (LCM) of 47042 and 47054 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47042 and 47054. First we will calculate the prime factors of 47042 and 47054.

Prime Factorization of 47042

Prime Factorization of 47054

Now multiplying the highest exponent prime factors to calculate the LCM of 47042 and 47054.

LCM(47042,47054) = 2¹ × 43¹ × 547¹ × 7¹ × 3361¹
LCM(47042,47054) = 1106757134