What is the Least Common Multiple of 67821 and 67827?

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 67821 and 67827 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67821 and 67827, than apply into the LCM equation.

GCF(67821,67827) = 3
LCM(67821,67827) = ( 67821 × 67827) / 3
LCM(67821,67827) = 4600094967 / 3
LCM(67821,67827) = 1533364989

Least Common Multiple (LCM) of 67821 and 67827 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67821 and 67827. First we will calculate the prime factors of 67821 and 67827.

Prime Factorization of 67821

Prime Factorization of 67827

Now multiplying the highest exponent prime factors to calculate the LCM of 67821 and 67827.

LCM(67821,67827) = 3¹ × 13¹ × 37¹ × 47¹ × 23¹ × 983¹
LCM(67821,67827) = 1533364989