What is the Least Common Multiple of 29548 and 29567?

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 29548 and 29567 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29548 and 29567, than apply into the LCM equation.

GCF(29548,29567) = 1
LCM(29548,29567) = ( 29548 × 29567) / 1
LCM(29548,29567) = 873645716 / 1
LCM(29548,29567) = 873645716

Least Common Multiple (LCM) of 29548 and 29567 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29548 and 29567. First we will calculate the prime factors of 29548 and 29567.

Prime Factorization of 29548

Prime Factorization of 29567

Now multiplying the highest exponent prime factors to calculate the LCM of 29548 and 29567.

LCM(29548,29567) = 2² × 83¹ × 89¹ × 29567¹
LCM(29548,29567) = 873645716