What is the Least Common Multiple of 38535 and 38549?

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 38535 and 38549 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38535 and 38549, than apply into the LCM equation.

GCF(38535,38549) = 7
LCM(38535,38549) = ( 38535 × 38549) / 7
LCM(38535,38549) = 1485485715 / 7
LCM(38535,38549) = 212212245

Least Common Multiple (LCM) of 38535 and 38549 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38535 and 38549. First we will calculate the prime factors of 38535 and 38549.

Prime Factorization of 38535

Prime Factorization of 38549

Now multiplying the highest exponent prime factors to calculate the LCM of 38535 and 38549.

LCM(38535,38549) = 3¹ × 5¹ × 7¹ × 367¹ × 5507¹
LCM(38535,38549) = 212212245