What is the Least Common Multiple of 64053 and 64065?

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 64053 and 64065 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64053 and 64065, than apply into the LCM equation.

GCF(64053,64065) = 3
LCM(64053,64065) = ( 64053 × 64065) / 3
LCM(64053,64065) = 4103555445 / 3
LCM(64053,64065) = 1367851815

Least Common Multiple (LCM) of 64053 and 64065 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64053 and 64065. First we will calculate the prime factors of 64053 and 64065.

Prime Factorization of 64053

Prime Factorization of 64065

Now multiplying the highest exponent prime factors to calculate the LCM of 64053 and 64065.

LCM(64053,64065) = 3² × 11¹ × 647¹ × 5¹ × 4271¹
LCM(64053,64065) = 1367851815