What is the Least Common Multiple of 38672 and 38689?

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 38672 and 38689 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38672 and 38689, than apply into the LCM equation.

GCF(38672,38689) = 1
LCM(38672,38689) = ( 38672 × 38689) / 1
LCM(38672,38689) = 1496181008 / 1
LCM(38672,38689) = 1496181008

Least Common Multiple (LCM) of 38672 and 38689 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38672 and 38689. First we will calculate the prime factors of 38672 and 38689.

Prime Factorization of 38672

Prime Factorization of 38689

Now multiplying the highest exponent prime factors to calculate the LCM of 38672 and 38689.

LCM(38672,38689) = 2⁴ × 2417¹ × 7¹ × 5527¹
LCM(38672,38689) = 1496181008