What is the Least Common Multiple of 67803 and 67821?

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 67803 and 67821 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67803 and 67821, than apply into the LCM equation.

GCF(67803,67821) = 3
LCM(67803,67821) = ( 67803 × 67821) / 3
LCM(67803,67821) = 4598467263 / 3
LCM(67803,67821) = 1532822421

Least Common Multiple (LCM) of 67803 and 67821 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67803 and 67821. First we will calculate the prime factors of 67803 and 67821.

Prime Factorization of 67803

Prime Factorization of 67821

Now multiplying the highest exponent prime factors to calculate the LCM of 67803 and 67821.

LCM(67803,67821) = 3¹ × 97¹ × 233¹ × 13¹ × 37¹ × 47¹
LCM(67803,67821) = 1532822421