What is the Least Common Multiple of 76082 and 76089?

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 76082 and 76089 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76082 and 76089, than apply into the LCM equation.

GCF(76082,76089) = 1
LCM(76082,76089) = ( 76082 × 76089) / 1
LCM(76082,76089) = 5789003298 / 1
LCM(76082,76089) = 5789003298

Least Common Multiple (LCM) of 76082 and 76089 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76082 and 76089. First we will calculate the prime factors of 76082 and 76089.

Prime Factorization of 76082

Prime Factorization of 76089

Now multiplying the highest exponent prime factors to calculate the LCM of 76082 and 76089.

LCM(76082,76089) = 2¹ × 109¹ × 349¹ × 3¹ × 13¹ × 1951¹
LCM(76082,76089) = 5789003298