What is the Least Common Multiple of 38545 and 38565?

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 38545 and 38565 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38545 and 38565, than apply into the LCM equation.

GCF(38545,38565) = 5
LCM(38545,38565) = ( 38545 × 38565) / 5
LCM(38545,38565) = 1486487925 / 5
LCM(38545,38565) = 297297585

Least Common Multiple (LCM) of 38545 and 38565 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38545 and 38565. First we will calculate the prime factors of 38545 and 38565.

Prime Factorization of 38545

Prime Factorization of 38565

Now multiplying the highest exponent prime factors to calculate the LCM of 38545 and 38565.

LCM(38545,38565) = 5¹ × 13¹ × 593¹ × 3² × 857¹
LCM(38545,38565) = 297297585