What is the Least Common Multiple of 5450 and 5462?

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 5450 and 5462 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5450 and 5462, than apply into the LCM equation.

GCF(5450,5462) = 2
LCM(5450,5462) = ( 5450 × 5462) / 2
LCM(5450,5462) = 29767900 / 2
LCM(5450,5462) = 14883950

Least Common Multiple (LCM) of 5450 and 5462 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5450 and 5462. First we will calculate the prime factors of 5450 and 5462.

Prime Factorization of 5450

Prime Factorization of 5462

Now multiplying the highest exponent prime factors to calculate the LCM of 5450 and 5462.

LCM(5450,5462) = 2¹ × 5² × 109¹ × 2731¹
LCM(5450,5462) = 14883950