What is the Least Common Multiple of 74368 and 74388?

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 74368 and 74388 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74368 and 74388, than apply into the LCM equation.

GCF(74368,74388) = 4
LCM(74368,74388) = ( 74368 × 74388) / 4
LCM(74368,74388) = 5532086784 / 4
LCM(74368,74388) = 1383021696

Least Common Multiple (LCM) of 74368 and 74388 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74368 and 74388. First we will calculate the prime factors of 74368 and 74388.

Prime Factorization of 74368

Prime Factorization of 74388

Now multiplying the highest exponent prime factors to calculate the LCM of 74368 and 74388.

LCM(74368,74388) = 2⁷ × 7¹ × 83¹ × 3¹ × 6199¹
LCM(74368,74388) = 1383021696