What is the Least Common Multiple of 38064 and 38074?

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 38064 and 38074 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38064 and 38074, than apply into the LCM equation.

GCF(38064,38074) = 2
LCM(38064,38074) = ( 38064 × 38074) / 2
LCM(38064,38074) = 1449248736 / 2
LCM(38064,38074) = 724624368

Least Common Multiple (LCM) of 38064 and 38074 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38064 and 38074. First we will calculate the prime factors of 38064 and 38074.

Prime Factorization of 38064

Prime Factorization of 38074

Now multiplying the highest exponent prime factors to calculate the LCM of 38064 and 38074.

LCM(38064,38074) = 2⁴ × 3¹ × 13¹ × 61¹ × 19037¹
LCM(38064,38074) = 724624368