What is the Least Common Multiple of 7678 and 7683?

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 7678 and 7683 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7678 and 7683, than apply into the LCM equation.

GCF(7678,7683) = 1
LCM(7678,7683) = ( 7678 × 7683) / 1
LCM(7678,7683) = 58990074 / 1
LCM(7678,7683) = 58990074

Least Common Multiple (LCM) of 7678 and 7683 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7678 and 7683. First we will calculate the prime factors of 7678 and 7683.

Prime Factorization of 7678

Prime Factorization of 7683

Now multiplying the highest exponent prime factors to calculate the LCM of 7678 and 7683.

LCM(7678,7683) = 2¹ × 11¹ × 349¹ × 3¹ × 13¹ × 197¹
LCM(7678,7683) = 58990074