What is the Least Common Multiple of 38720 and 38734?

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 38720 and 38734 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38720 and 38734, than apply into the LCM equation.

GCF(38720,38734) = 2
LCM(38720,38734) = ( 38720 × 38734) / 2
LCM(38720,38734) = 1499780480 / 2
LCM(38720,38734) = 749890240

Least Common Multiple (LCM) of 38720 and 38734 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38720 and 38734. First we will calculate the prime factors of 38720 and 38734.

Prime Factorization of 38720

Prime Factorization of 38734

Now multiplying the highest exponent prime factors to calculate the LCM of 38720 and 38734.

LCM(38720,38734) = 2⁶ × 5¹ × 11² × 107¹ × 181¹
LCM(38720,38734) = 749890240