What is the Least Common Multiple of 7654 and 7666?

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 7654 and 7666 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7654 and 7666, than apply into the LCM equation.

GCF(7654,7666) = 2
LCM(7654,7666) = ( 7654 × 7666) / 2
LCM(7654,7666) = 58675564 / 2
LCM(7654,7666) = 29337782

Least Common Multiple (LCM) of 7654 and 7666 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7654 and 7666. First we will calculate the prime factors of 7654 and 7666.

Prime Factorization of 7654

Prime Factorization of 7666

Now multiplying the highest exponent prime factors to calculate the LCM of 7654 and 7666.

LCM(7654,7666) = 2¹ × 43¹ × 89¹ × 3833¹
LCM(7654,7666) = 29337782