What is the Least Common Multiple of 76678 and 76686?

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 76678 and 76686 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76678 and 76686, than apply into the LCM equation.

GCF(76678,76686) = 2
LCM(76678,76686) = ( 76678 × 76686) / 2
LCM(76678,76686) = 5880129108 / 2
LCM(76678,76686) = 2940064554

Least Common Multiple (LCM) of 76678 and 76686 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76678 and 76686. First we will calculate the prime factors of 76678 and 76686.

Prime Factorization of 76678

Prime Factorization of 76686

Now multiplying the highest exponent prime factors to calculate the LCM of 76678 and 76686.

LCM(76678,76686) = 2¹ × 7¹ × 5477¹ × 3¹ × 12781¹
LCM(76678,76686) = 2940064554