What is the Least Common Multiple of 6514 and 6534?

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 6514 and 6534 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6514 and 6534, than apply into the LCM equation.

GCF(6514,6534) = 2
LCM(6514,6534) = ( 6514 × 6534) / 2
LCM(6514,6534) = 42562476 / 2
LCM(6514,6534) = 21281238

Least Common Multiple (LCM) of 6514 and 6534 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6514 and 6534. First we will calculate the prime factors of 6514 and 6534.

Prime Factorization of 6514

Prime Factorization of 6534

Now multiplying the highest exponent prime factors to calculate the LCM of 6514 and 6534.

LCM(6514,6534) = 2¹ × 3257¹ × 3³ × 11²
LCM(6514,6534) = 21281238