What is the Least Common Multiple of 38592 and 38610?

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 38592 and 38610 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38592 and 38610, than apply into the LCM equation.

GCF(38592,38610) = 18
LCM(38592,38610) = ( 38592 × 38610) / 18
LCM(38592,38610) = 1490037120 / 18
LCM(38592,38610) = 82779840

Least Common Multiple (LCM) of 38592 and 38610 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38592 and 38610. First we will calculate the prime factors of 38592 and 38610.

Prime Factorization of 38592

Prime Factorization of 38610

Now multiplying the highest exponent prime factors to calculate the LCM of 38592 and 38610.

LCM(38592,38610) = 2⁶ × 3³ × 67¹ × 5¹ × 11¹ × 13¹
LCM(38592,38610) = 82779840