What is the Least Common Multiple of 55608 and 55614?

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 55608 and 55614 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55608 and 55614, than apply into the LCM equation.

GCF(55608,55614) = 6
LCM(55608,55614) = ( 55608 × 55614) / 6
LCM(55608,55614) = 3092583312 / 6
LCM(55608,55614) = 515430552

Least Common Multiple (LCM) of 55608 and 55614 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55608 and 55614. First we will calculate the prime factors of 55608 and 55614.

Prime Factorization of 55608

Prime Factorization of 55614

Now multiplying the highest exponent prime factors to calculate the LCM of 55608 and 55614.

LCM(55608,55614) = 2³ × 3¹ × 7¹ × 331¹ × 13¹ × 23¹ × 31¹
LCM(55608,55614) = 515430552