What is the Least Common Multiple of 7654 and 7669?

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 7669 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 7669, than apply into the LCM equation.

GCF(7654,7669) = 1
LCM(7654,7669) = ( 7654 × 7669) / 1
LCM(7654,7669) = 58698526 / 1
LCM(7654,7669) = 58698526

Least Common Multiple (LCM) of 7654 and 7669 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7654 and 7669. First we will calculate the prime factors of 7654 and 7669.

Prime Factorization of 7654

Prime Factorization of 7669

Now multiplying the highest exponent prime factors to calculate the LCM of 7654 and 7669.

LCM(7654,7669) = 2¹ × 43¹ × 89¹ × 7669¹
LCM(7654,7669) = 58698526