What is the Least Common Multiple of 8076 and 8083?

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 8076 and 8083 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8076 and 8083, than apply into the LCM equation.

GCF(8076,8083) = 1
LCM(8076,8083) = ( 8076 × 8083) / 1
LCM(8076,8083) = 65278308 / 1
LCM(8076,8083) = 65278308

Least Common Multiple (LCM) of 8076 and 8083 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8076 and 8083. First we will calculate the prime factors of 8076 and 8083.

Prime Factorization of 8076

Prime Factorization of 8083

Now multiplying the highest exponent prime factors to calculate the LCM of 8076 and 8083.

LCM(8076,8083) = 2² × 3¹ × 673¹ × 59¹ × 137¹
LCM(8076,8083) = 65278308