What is the Least Common Multiple of 38480 and 38492?

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 38480 and 38492 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38480 and 38492, than apply into the LCM equation.

GCF(38480,38492) = 4
LCM(38480,38492) = ( 38480 × 38492) / 4
LCM(38480,38492) = 1481172160 / 4
LCM(38480,38492) = 370293040

Least Common Multiple (LCM) of 38480 and 38492 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38480 and 38492. First we will calculate the prime factors of 38480 and 38492.

Prime Factorization of 38480

Prime Factorization of 38492

Now multiplying the highest exponent prime factors to calculate the LCM of 38480 and 38492.

LCM(38480,38492) = 2⁴ × 5¹ × 13¹ × 37¹ × 9623¹
LCM(38480,38492) = 370293040