What is the Least Common Multiple of 70821 and 70841?

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 70821 and 70841 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70821 and 70841, than apply into the LCM equation.

GCF(70821,70841) = 1
LCM(70821,70841) = ( 70821 × 70841) / 1
LCM(70821,70841) = 5017030461 / 1
LCM(70821,70841) = 5017030461

Least Common Multiple (LCM) of 70821 and 70841 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70821 and 70841. First we will calculate the prime factors of 70821 and 70841.

Prime Factorization of 70821

Prime Factorization of 70841

Now multiplying the highest exponent prime factors to calculate the LCM of 70821 and 70841.

LCM(70821,70841) = 3³ × 43¹ × 61¹ × 70841¹
LCM(70821,70841) = 5017030461