What is the Least Common Multiple of 73821 and 73834?

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 73821 and 73834 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73821 and 73834, than apply into the LCM equation.

GCF(73821,73834) = 1
LCM(73821,73834) = ( 73821 × 73834) / 1
LCM(73821,73834) = 5450499714 / 1
LCM(73821,73834) = 5450499714

Least Common Multiple (LCM) of 73821 and 73834 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73821 and 73834. First we will calculate the prime factors of 73821 and 73834.

Prime Factorization of 73821

Prime Factorization of 73834

Now multiplying the highest exponent prime factors to calculate the LCM of 73821 and 73834.

LCM(73821,73834) = 3¹ × 11¹ × 2237¹ × 2¹ × 19¹ × 29¹ × 67¹
LCM(73821,73834) = 5450499714