What is the Least Common Multiple of 55614 and 55632?

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 55614 and 55632 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55614 and 55632, than apply into the LCM equation.

GCF(55614,55632) = 6
LCM(55614,55632) = ( 55614 × 55632) / 6
LCM(55614,55632) = 3093918048 / 6
LCM(55614,55632) = 515653008

Least Common Multiple (LCM) of 55614 and 55632 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55614 and 55632. First we will calculate the prime factors of 55614 and 55632.

Prime Factorization of 55614

Prime Factorization of 55632

Now multiplying the highest exponent prime factors to calculate the LCM of 55614 and 55632.

LCM(55614,55632) = 2⁴ × 3¹ × 13¹ × 23¹ × 31¹ × 19¹ × 61¹
LCM(55614,55632) = 515653008