What is the Least Common Multiple of 6465 and 6483?

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 6465 and 6483 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6465 and 6483, than apply into the LCM equation.

GCF(6465,6483) = 3
LCM(6465,6483) = ( 6465 × 6483) / 3
LCM(6465,6483) = 41912595 / 3
LCM(6465,6483) = 13970865

Least Common Multiple (LCM) of 6465 and 6483 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6465 and 6483. First we will calculate the prime factors of 6465 and 6483.

Prime Factorization of 6465

Prime Factorization of 6483

Now multiplying the highest exponent prime factors to calculate the LCM of 6465 and 6483.

LCM(6465,6483) = 3¹ × 5¹ × 431¹ × 2161¹
LCM(6465,6483) = 13970865