What is the Least Common Multiple of 55628 and 55640?

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 55628 and 55640 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55628 and 55640, than apply into the LCM equation.

GCF(55628,55640) = 4
LCM(55628,55640) = ( 55628 × 55640) / 4
LCM(55628,55640) = 3095141920 / 4
LCM(55628,55640) = 773785480

Least Common Multiple (LCM) of 55628 and 55640 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55628 and 55640. First we will calculate the prime factors of 55628 and 55640.

Prime Factorization of 55628

Prime Factorization of 55640

Now multiplying the highest exponent prime factors to calculate the LCM of 55628 and 55640.

LCM(55628,55640) = 2³ × 13907¹ × 5¹ × 13¹ × 107¹
LCM(55628,55640) = 773785480