What is the Least Common Multiple of 38064 and 38077?

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 38077 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 38077, than apply into the LCM equation.

GCF(38064,38077) = 13
LCM(38064,38077) = ( 38064 × 38077) / 13
LCM(38064,38077) = 1449362928 / 13
LCM(38064,38077) = 111489456

Least Common Multiple (LCM) of 38064 and 38077 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38064 and 38077. First we will calculate the prime factors of 38064 and 38077.

Prime Factorization of 38064

Prime Factorization of 38077

Now multiplying the highest exponent prime factors to calculate the LCM of 38064 and 38077.

LCM(38064,38077) = 2⁴ × 3¹ × 13¹ × 61¹ × 29¹ × 101¹
LCM(38064,38077) = 111489456