GCF and LCM Calculator Logo

What is the Least Common Multiple of 55693 and 55704?

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 55693 and 55704 is 282029352.

LCM(55693,55704) = 282029352

LCM Calculator and
and

Least Common Multiple of 55693 and 55704 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55693 and 55704, than apply into the LCM equation.

GCF(55693,55704) = 11
LCM(55693,55704) = ( 55693 × 55704) / 11
LCM(55693,55704) = 3102322872 / 11
LCM(55693,55704) = 282029352

Least Common Multiple (LCM) of 55693 and 55704 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55693 and 55704. First we will calculate the prime factors of 55693 and 55704.

Prime Factorization of 55693

Prime factors of 55693 are 11, 61, 83. Prime factorization of 55693 in exponential form is:

55693 = 111 × 611 × 831

Prime Factorization of 55704

Prime factors of 55704 are 2, 3, 11, 211. Prime factorization of 55704 in exponential form is:

55704 = 23 × 31 × 111 × 2111

Now multiplying the highest exponent prime factors to calculate the LCM of 55693 and 55704.

LCM(55693,55704) = 111 × 611 × 831 × 23 × 31 × 2111
LCM(55693,55704) = 282029352