What is the Least Common Multiple of 38515 and 38535?

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 38515 and 38535 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38515 and 38535, than apply into the LCM equation.

GCF(38515,38535) = 5
LCM(38515,38535) = ( 38515 × 38535) / 5
LCM(38515,38535) = 1484175525 / 5
LCM(38515,38535) = 296835105

Least Common Multiple (LCM) of 38515 and 38535 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38515 and 38535. First we will calculate the prime factors of 38515 and 38535.

Prime Factorization of 38515

Prime Factorization of 38535

Now multiplying the highest exponent prime factors to calculate the LCM of 38515 and 38535.

LCM(38515,38535) = 5¹ × 7703¹ × 3¹ × 7¹ × 367¹
LCM(38515,38535) = 296835105