What is the Least Common Multiple of 38049 and 38064?

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 38049 and 38064 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38049 and 38064, than apply into the LCM equation.

GCF(38049,38064) = 3
LCM(38049,38064) = ( 38049 × 38064) / 3
LCM(38049,38064) = 1448297136 / 3
LCM(38049,38064) = 482765712

Least Common Multiple (LCM) of 38049 and 38064 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38049 and 38064. First we will calculate the prime factors of 38049 and 38064.

Prime Factorization of 38049

Prime Factorization of 38064

Now multiplying the highest exponent prime factors to calculate the LCM of 38049 and 38064.

LCM(38049,38064) = 3¹ × 11¹ × 1153¹ × 2⁴ × 13¹ × 61¹
LCM(38049,38064) = 482765712