What is the Least Common Multiple of 78076 and 78082?

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 78076 and 78082 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78076 and 78082, than apply into the LCM equation.

GCF(78076,78082) = 2
LCM(78076,78082) = ( 78076 × 78082) / 2
LCM(78076,78082) = 6096330232 / 2
LCM(78076,78082) = 3048165116

Least Common Multiple (LCM) of 78076 and 78082 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78076 and 78082. First we will calculate the prime factors of 78076 and 78082.

Prime Factorization of 78076

Prime Factorization of 78082

Now multiplying the highest exponent prime factors to calculate the LCM of 78076 and 78082.

LCM(78076,78082) = 2² × 131¹ × 149¹ × 39041¹
LCM(78076,78082) = 3048165116