What is the Least Common Multiple of 73827 and 73841?

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 73827 and 73841 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73827 and 73841, than apply into the LCM equation.

GCF(73827,73841) = 1
LCM(73827,73841) = ( 73827 × 73841) / 1
LCM(73827,73841) = 5451459507 / 1
LCM(73827,73841) = 5451459507

Least Common Multiple (LCM) of 73827 and 73841 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73827 and 73841. First we will calculate the prime factors of 73827 and 73841.

Prime Factorization of 73827

Prime Factorization of 73841

Now multiplying the highest exponent prime factors to calculate the LCM of 73827 and 73841.

LCM(73827,73841) = 3² × 13¹ × 631¹ × 41¹ × 1801¹
LCM(73827,73841) = 5451459507