What is the Least Common Multiple of 27076 and 27080?

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 27076 and 27080 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27076 and 27080, than apply into the LCM equation.

GCF(27076,27080) = 4
LCM(27076,27080) = ( 27076 × 27080) / 4
LCM(27076,27080) = 733218080 / 4
LCM(27076,27080) = 183304520

Least Common Multiple (LCM) of 27076 and 27080 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27076 and 27080. First we will calculate the prime factors of 27076 and 27080.

Prime Factorization of 27076

Prime Factorization of 27080

Now multiplying the highest exponent prime factors to calculate the LCM of 27076 and 27080.

LCM(27076,27080) = 2³ × 7¹ × 967¹ × 5¹ × 677¹
LCM(27076,27080) = 183304520