What is the Least Common Multiple of 76820 and 76836?

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 76820 and 76836 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76820 and 76836, than apply into the LCM equation.

GCF(76820,76836) = 4
LCM(76820,76836) = ( 76820 × 76836) / 4
LCM(76820,76836) = 5902541520 / 4
LCM(76820,76836) = 1475635380

Least Common Multiple (LCM) of 76820 and 76836 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76820 and 76836. First we will calculate the prime factors of 76820 and 76836.

Prime Factorization of 76820

Prime Factorization of 76836

Now multiplying the highest exponent prime factors to calculate the LCM of 76820 and 76836.

LCM(76820,76836) = 2² × 5¹ × 23¹ × 167¹ × 3¹ × 19¹ × 337¹
LCM(76820,76836) = 1475635380