What is the Least Common Multiple of 53382 and 53387?

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 53382 and 53387 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53382 and 53387, than apply into the LCM equation.

GCF(53382,53387) = 1
LCM(53382,53387) = ( 53382 × 53387) / 1
LCM(53382,53387) = 2849904834 / 1
LCM(53382,53387) = 2849904834

Least Common Multiple (LCM) of 53382 and 53387 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53382 and 53387. First we will calculate the prime factors of 53382 and 53387.

Prime Factorization of 53382

Prime Factorization of 53387

Now multiplying the highest exponent prime factors to calculate the LCM of 53382 and 53387.

LCM(53382,53387) = 2¹ × 3¹ × 7¹ × 31¹ × 41¹ × 197¹ × 271¹
LCM(53382,53387) = 2849904834