What is the Least Common Multiple of 27450 and 27470?

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 27470 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 27470, than apply into the LCM equation.

GCF(27450,27470) = 10
LCM(27450,27470) = ( 27450 × 27470) / 10
LCM(27450,27470) = 754051500 / 10
LCM(27450,27470) = 75405150

Least Common Multiple (LCM) of 27450 and 27470 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27450 and 27470. First we will calculate the prime factors of 27450 and 27470.

Prime Factorization of 27450

Prime Factorization of 27470

Now multiplying the highest exponent prime factors to calculate the LCM of 27450 and 27470.

LCM(27450,27470) = 2¹ × 3² × 5² × 61¹ × 41¹ × 67¹
LCM(27450,27470) = 75405150