What is the Least Common Multiple of 27465 and 27483?

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 27465 and 27483 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27465 and 27483, than apply into the LCM equation.

GCF(27465,27483) = 3
LCM(27465,27483) = ( 27465 × 27483) / 3
LCM(27465,27483) = 754820595 / 3
LCM(27465,27483) = 251606865

Least Common Multiple (LCM) of 27465 and 27483 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27465 and 27483. First we will calculate the prime factors of 27465 and 27483.

Prime Factorization of 27465

Prime Factorization of 27483

Now multiplying the highest exponent prime factors to calculate the LCM of 27465 and 27483.

LCM(27465,27483) = 3¹ × 5¹ × 1831¹ × 9161¹
LCM(27465,27483) = 251606865