GCF and LCM Calculator Logo

What is the Least Common Multiple of 38525 and 38540?

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 (LCM) of 38525 and 38540 is 296950700.

LCM(38525,38540) = 296950700

LCM Calculator and
and

Least Common Multiple of 38525 and 38540 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38525 and 38540, than apply into the LCM equation.

GCF(38525,38540) = 5
LCM(38525,38540) = ( 38525 × 38540) / 5
LCM(38525,38540) = 1484753500 / 5
LCM(38525,38540) = 296950700

Least Common Multiple (LCM) of 38525 and 38540 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38525 and 38540. First we will calculate the prime factors of 38525 and 38540.

Prime Factorization of 38525

Prime factors of 38525 are 5, 23, 67. Prime factorization of 38525 in exponential form is:

38525 = 52 × 231 × 671

Prime Factorization of 38540

Prime factors of 38540 are 2, 5, 41, 47. Prime factorization of 38540 in exponential form is:

38540 = 22 × 51 × 411 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 38525 and 38540.

LCM(38525,38540) = 52 × 231 × 671 × 22 × 411 × 471
LCM(38525,38540) = 296950700