What is the Least Common Multiple of 76805 and 76821?

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 76805 and 76821 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76805 and 76821, than apply into the LCM equation.

GCF(76805,76821) = 1
LCM(76805,76821) = ( 76805 × 76821) / 1
LCM(76805,76821) = 5900236905 / 1
LCM(76805,76821) = 5900236905

Least Common Multiple (LCM) of 76805 and 76821 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76805 and 76821. First we will calculate the prime factors of 76805 and 76821.

Prime Factorization of 76805

Prime Factorization of 76821

Now multiplying the highest exponent prime factors to calculate the LCM of 76805 and 76821.

LCM(76805,76821) = 5¹ × 15361¹ × 3¹ × 29¹ × 883¹
LCM(76805,76821) = 5900236905