What is the Least Common Multiple of 38368 and 38388?

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 38368 and 38388 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38368 and 38388, than apply into the LCM equation.

GCF(38368,38388) = 4
LCM(38368,38388) = ( 38368 × 38388) / 4
LCM(38368,38388) = 1472870784 / 4
LCM(38368,38388) = 368217696

Least Common Multiple (LCM) of 38368 and 38388 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38368 and 38388. First we will calculate the prime factors of 38368 and 38388.

Prime Factorization of 38368

Prime Factorization of 38388

Now multiplying the highest exponent prime factors to calculate the LCM of 38368 and 38388.

LCM(38368,38388) = 2⁵ × 11¹ × 109¹ × 3¹ × 7¹ × 457¹
LCM(38368,38388) = 368217696