What is the Least Common Multiple of 27450 and 27465?

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 27450 and 27465 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27450 and 27465, than apply into the LCM equation.

GCF(27450,27465) = 15
LCM(27450,27465) = ( 27450 × 27465) / 15
LCM(27450,27465) = 753914250 / 15
LCM(27450,27465) = 50260950

Least Common Multiple (LCM) of 27450 and 27465 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27450 and 27465. First we will calculate the prime factors of 27450 and 27465.

Prime Factorization of 27450

Prime Factorization of 27465

Now multiplying the highest exponent prime factors to calculate the LCM of 27450 and 27465.

LCM(27450,27465) = 2¹ × 3² × 5² × 61¹ × 1831¹
LCM(27450,27465) = 50260950