What is the Least Common Multiple of 7625 and 7643?

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 7625 and 7643 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7625 and 7643, than apply into the LCM equation.

GCF(7625,7643) = 1
LCM(7625,7643) = ( 7625 × 7643) / 1
LCM(7625,7643) = 58277875 / 1
LCM(7625,7643) = 58277875

Least Common Multiple (LCM) of 7625 and 7643 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7625 and 7643. First we will calculate the prime factors of 7625 and 7643.

Prime Factorization of 7625

Prime Factorization of 7643

Now multiplying the highest exponent prime factors to calculate the LCM of 7625 and 7643.

LCM(7625,7643) = 5³ × 61¹ × 7643¹
LCM(7625,7643) = 58277875