What is the Least Common Multiple of 76821 and 76840?

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 76821 and 76840 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76821 and 76840, than apply into the LCM equation.

GCF(76821,76840) = 1
LCM(76821,76840) = ( 76821 × 76840) / 1
LCM(76821,76840) = 5902925640 / 1
LCM(76821,76840) = 5902925640

Least Common Multiple (LCM) of 76821 and 76840 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76821 and 76840. First we will calculate the prime factors of 76821 and 76840.

Prime Factorization of 76821

Prime Factorization of 76840

Now multiplying the highest exponent prime factors to calculate the LCM of 76821 and 76840.

LCM(76821,76840) = 3¹ × 29¹ × 883¹ × 2³ × 5¹ × 17¹ × 113¹
LCM(76821,76840) = 5902925640