What is the Least Common Multiple of 14049 and 14064?

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 14049 and 14064 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14049 and 14064, than apply into the LCM equation.

GCF(14049,14064) = 3
LCM(14049,14064) = ( 14049 × 14064) / 3
LCM(14049,14064) = 197585136 / 3
LCM(14049,14064) = 65861712

Least Common Multiple (LCM) of 14049 and 14064 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14049 and 14064. First we will calculate the prime factors of 14049 and 14064.

Prime Factorization of 14049

Prime Factorization of 14064

Now multiplying the highest exponent prime factors to calculate the LCM of 14049 and 14064.

LCM(14049,14064) = 3² × 7¹ × 223¹ × 2⁴ × 293¹
LCM(14049,14064) = 65861712