What is the Least Common Multiple of 38672 and 38690?

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 38690 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 38690, than apply into the LCM equation.

GCF(38672,38690) = 2
LCM(38672,38690) = ( 38672 × 38690) / 2
LCM(38672,38690) = 1496219680 / 2
LCM(38672,38690) = 748109840

Least Common Multiple (LCM) of 38672 and 38690 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38672 and 38690. First we will calculate the prime factors of 38672 and 38690.

Prime Factorization of 38672

Prime Factorization of 38690

Now multiplying the highest exponent prime factors to calculate the LCM of 38672 and 38690.

LCM(38672,38690) = 2⁴ × 2417¹ × 5¹ × 53¹ × 73¹
LCM(38672,38690) = 748109840