What is the Least Common Multiple of 7648 and 7654?

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 7648 and 7654 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7648 and 7654, than apply into the LCM equation.

GCF(7648,7654) = 2
LCM(7648,7654) = ( 7648 × 7654) / 2
LCM(7648,7654) = 58537792 / 2
LCM(7648,7654) = 29268896

Least Common Multiple (LCM) of 7648 and 7654 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7648 and 7654. First we will calculate the prime factors of 7648 and 7654.

Prime Factorization of 7648

Prime Factorization of 7654

Now multiplying the highest exponent prime factors to calculate the LCM of 7648 and 7654.

LCM(7648,7654) = 2⁵ × 239¹ × 43¹ × 89¹
LCM(7648,7654) = 29268896