What is the Least Common Multiple of 80514 and 80533?

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 80514 and 80533 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80514 and 80533, than apply into the LCM equation.

GCF(80514,80533) = 1
LCM(80514,80533) = ( 80514 × 80533) / 1
LCM(80514,80533) = 6484033962 / 1
LCM(80514,80533) = 6484033962

Least Common Multiple (LCM) of 80514 and 80533 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80514 and 80533. First we will calculate the prime factors of 80514 and 80533.

Prime Factorization of 80514

Prime Factorization of 80533

Now multiplying the highest exponent prime factors to calculate the LCM of 80514 and 80533.

LCM(80514,80533) = 2¹ × 3⁴ × 7¹ × 71¹ × 29¹ × 2777¹
LCM(80514,80533) = 6484033962