What is the Least Common Multiple of 82053 and 82065?

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 82053 and 82065 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82053 and 82065, than apply into the LCM equation.

GCF(82053,82065) = 3
LCM(82053,82065) = ( 82053 × 82065) / 3
LCM(82053,82065) = 6733679445 / 3
LCM(82053,82065) = 2244559815

Least Common Multiple (LCM) of 82053 and 82065 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82053 and 82065. First we will calculate the prime factors of 82053 and 82065.

Prime Factorization of 82053

Prime Factorization of 82065

Now multiplying the highest exponent prime factors to calculate the LCM of 82053 and 82065.

LCM(82053,82065) = 3⁴ × 1013¹ × 5¹ × 5471¹
LCM(82053,82065) = 2244559815