What is the Least Common Multiple of 5537 and 5546?

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 5537 and 5546 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5537 and 5546, than apply into the LCM equation.

GCF(5537,5546) = 1
LCM(5537,5546) = ( 5537 × 5546) / 1
LCM(5537,5546) = 30708202 / 1
LCM(5537,5546) = 30708202

Least Common Multiple (LCM) of 5537 and 5546 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5537 and 5546. First we will calculate the prime factors of 5537 and 5546.

Prime Factorization of 5537

Prime Factorization of 5546

Now multiplying the highest exponent prime factors to calculate the LCM of 5537 and 5546.

LCM(5537,5546) = 7² × 113¹ × 2¹ × 47¹ × 59¹
LCM(5537,5546) = 30708202