What is the Least Common Multiple of 38471 and 38489?

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 38471 and 38489 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38471 and 38489, than apply into the LCM equation.

GCF(38471,38489) = 1
LCM(38471,38489) = ( 38471 × 38489) / 1
LCM(38471,38489) = 1480710319 / 1
LCM(38471,38489) = 1480710319

Least Common Multiple (LCM) of 38471 and 38489 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38471 and 38489. First we will calculate the prime factors of 38471 and 38489.

Prime Factorization of 38471

Prime Factorization of 38489

Now multiplying the highest exponent prime factors to calculate the LCM of 38471 and 38489.

LCM(38471,38489) = 17¹ × 31¹ × 73¹ × 11¹ × 3499¹
LCM(38471,38489) = 1480710319