What is the Least Common Multiple of 81548 and 81567?

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 81548 and 81567 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81548 and 81567, than apply into the LCM equation.

GCF(81548,81567) = 19
LCM(81548,81567) = ( 81548 × 81567) / 19
LCM(81548,81567) = 6651625716 / 19
LCM(81548,81567) = 350085564

Least Common Multiple (LCM) of 81548 and 81567 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81548 and 81567. First we will calculate the prime factors of 81548 and 81567.

Prime Factorization of 81548

Prime Factorization of 81567

Now multiplying the highest exponent prime factors to calculate the LCM of 81548 and 81567.

LCM(81548,81567) = 2² × 19¹ × 29¹ × 37¹ × 3⁴ × 53¹
LCM(81548,81567) = 350085564