What is the Least Common Multiple of 38445 and 38451?

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 38445 and 38451 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38445 and 38451, than apply into the LCM equation.

GCF(38445,38451) = 3
LCM(38445,38451) = ( 38445 × 38451) / 3
LCM(38445,38451) = 1478248695 / 3
LCM(38445,38451) = 492749565

Least Common Multiple (LCM) of 38445 and 38451 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38445 and 38451. First we will calculate the prime factors of 38445 and 38451.

Prime Factorization of 38445

Prime Factorization of 38451

Now multiplying the highest exponent prime factors to calculate the LCM of 38445 and 38451.

LCM(38445,38451) = 3¹ × 5¹ × 11¹ × 233¹ × 7¹ × 1831¹
LCM(38445,38451) = 492749565