What is the Least Common Multiple of 38528 and 38542?

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 38528 and 38542 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38528 and 38542, than apply into the LCM equation.

GCF(38528,38542) = 14
LCM(38528,38542) = ( 38528 × 38542) / 14
LCM(38528,38542) = 1484946176 / 14
LCM(38528,38542) = 106067584

Least Common Multiple (LCM) of 38528 and 38542 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38528 and 38542. First we will calculate the prime factors of 38528 and 38542.

Prime Factorization of 38528

Prime Factorization of 38542

Now multiplying the highest exponent prime factors to calculate the LCM of 38528 and 38542.

LCM(38528,38542) = 2⁷ × 7¹ × 43¹ × 2753¹
LCM(38528,38542) = 106067584