What is the Least Common Multiple of 64044 and 64053?

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 64044 and 64053 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64044 and 64053, than apply into the LCM equation.

GCF(64044,64053) = 9
LCM(64044,64053) = ( 64044 × 64053) / 9
LCM(64044,64053) = 4102210332 / 9
LCM(64044,64053) = 455801148

Least Common Multiple (LCM) of 64044 and 64053 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64044 and 64053. First we will calculate the prime factors of 64044 and 64053.

Prime Factorization of 64044

Prime Factorization of 64053

Now multiplying the highest exponent prime factors to calculate the LCM of 64044 and 64053.

LCM(64044,64053) = 2² × 3³ × 593¹ × 11¹ × 647¹
LCM(64044,64053) = 455801148