What is the Least Common Multiple of 54540 and 54551?

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 54540 and 54551 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54540 and 54551, than apply into the LCM equation.

GCF(54540,54551) = 1
LCM(54540,54551) = ( 54540 × 54551) / 1
LCM(54540,54551) = 2975211540 / 1
LCM(54540,54551) = 2975211540

Least Common Multiple (LCM) of 54540 and 54551 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54540 and 54551. First we will calculate the prime factors of 54540 and 54551.

Prime Factorization of 54540

Prime Factorization of 54551

Now multiplying the highest exponent prime factors to calculate the LCM of 54540 and 54551.

LCM(54540,54551) = 2² × 3³ × 5¹ × 101¹ × 7¹ × 7793¹
LCM(54540,54551) = 2975211540