What is the Least Common Multiple of 27385 and 27402?

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 27385 and 27402 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27385 and 27402, than apply into the LCM equation.

GCF(27385,27402) = 1
LCM(27385,27402) = ( 27385 × 27402) / 1
LCM(27385,27402) = 750403770 / 1
LCM(27385,27402) = 750403770

Least Common Multiple (LCM) of 27385 and 27402 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27385 and 27402. First we will calculate the prime factors of 27385 and 27402.

Prime Factorization of 27385

Prime Factorization of 27402

Now multiplying the highest exponent prime factors to calculate the LCM of 27385 and 27402.

LCM(27385,27402) = 5¹ × 5477¹ × 2¹ × 3¹ × 4567¹
LCM(27385,27402) = 750403770