What is the Least Common Multiple of 7546 and 7553?

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 7546 and 7553 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7546 and 7553, than apply into the LCM equation.

GCF(7546,7553) = 7
LCM(7546,7553) = ( 7546 × 7553) / 7
LCM(7546,7553) = 56994938 / 7
LCM(7546,7553) = 8142134

Least Common Multiple (LCM) of 7546 and 7553 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7546 and 7553. First we will calculate the prime factors of 7546 and 7553.

Prime Factorization of 7546

Prime Factorization of 7553

Now multiplying the highest exponent prime factors to calculate the LCM of 7546 and 7553.

LCM(7546,7553) = 2¹ × 7³ × 11¹ × 13¹ × 83¹
LCM(7546,7553) = 8142134