What is the Least Common Multiple of 5540 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 5540 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 5540 and 5546, than apply into the LCM equation.

GCF(5540,5546) = 2
LCM(5540,5546) = ( 5540 × 5546) / 2
LCM(5540,5546) = 30724840 / 2
LCM(5540,5546) = 15362420

Least Common Multiple (LCM) of 5540 and 5546 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5540 and 5546. First we will calculate the prime factors of 5540 and 5546.

Prime Factorization of 5540

Prime Factorization of 5546

Now multiplying the highest exponent prime factors to calculate the LCM of 5540 and 5546.

LCM(5540,5546) = 2² × 5¹ × 277¹ × 47¹ × 59¹
LCM(5540,5546) = 15362420