What is the Least Common Multiple of 13076 and 13084?

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 13076 and 13084 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13076 and 13084, than apply into the LCM equation.

GCF(13076,13084) = 4
LCM(13076,13084) = ( 13076 × 13084) / 4
LCM(13076,13084) = 171086384 / 4
LCM(13076,13084) = 42771596

Least Common Multiple (LCM) of 13076 and 13084 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13076 and 13084. First we will calculate the prime factors of 13076 and 13084.

Prime Factorization of 13076

Prime Factorization of 13084

Now multiplying the highest exponent prime factors to calculate the LCM of 13076 and 13084.

LCM(13076,13084) = 2² × 7¹ × 467¹ × 3271¹
LCM(13076,13084) = 42771596