What is the Least Common Multiple of 53805 and 53821?

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 53805 and 53821 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53805 and 53821, than apply into the LCM equation.

GCF(53805,53821) = 1
LCM(53805,53821) = ( 53805 × 53821) / 1
LCM(53805,53821) = 2895838905 / 1
LCM(53805,53821) = 2895838905

Least Common Multiple (LCM) of 53805 and 53821 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53805 and 53821. First we will calculate the prime factors of 53805 and 53821.

Prime Factorization of 53805

Prime Factorization of 53821

Now multiplying the highest exponent prime factors to calculate the LCM of 53805 and 53821.

LCM(53805,53821) = 3¹ × 5¹ × 17¹ × 211¹ × 107¹ × 503¹
LCM(53805,53821) = 2895838905