GCF and LCM Calculator Logo

What is the Least Common Multiple of 55934 and 55944?

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 (LCM) of 55934 and 55944 is 1564585848.

LCM(55934,55944) = 1564585848

LCM Calculator and
and

Least Common Multiple of 55934 and 55944 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55934 and 55944, than apply into the LCM equation.

GCF(55934,55944) = 2
LCM(55934,55944) = ( 55934 × 55944) / 2
LCM(55934,55944) = 3129171696 / 2
LCM(55934,55944) = 1564585848

Least Common Multiple (LCM) of 55934 and 55944 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55934 and 55944. First we will calculate the prime factors of 55934 and 55944.

Prime Factorization of 55934

Prime factors of 55934 are 2, 27967. Prime factorization of 55934 in exponential form is:

55934 = 21 × 279671

Prime Factorization of 55944

Prime factors of 55944 are 2, 3, 7, 37. Prime factorization of 55944 in exponential form is:

55944 = 23 × 33 × 71 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 55934 and 55944.

LCM(55934,55944) = 23 × 279671 × 33 × 71 × 371
LCM(55934,55944) = 1564585848