GCF and LCM Calculator Logo

What is the Least Common Multiple of 16748 and 16761?

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 16748 and 16761 is 280713228.

LCM(16748,16761) = 280713228

LCM Calculator and
and

Least Common Multiple of 16748 and 16761 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16748 and 16761, than apply into the LCM equation.

GCF(16748,16761) = 1
LCM(16748,16761) = ( 16748 × 16761) / 1
LCM(16748,16761) = 280713228 / 1
LCM(16748,16761) = 280713228

Least Common Multiple (LCM) of 16748 and 16761 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16748 and 16761. First we will calculate the prime factors of 16748 and 16761.

Prime Factorization of 16748

Prime factors of 16748 are 2, 53, 79. Prime factorization of 16748 in exponential form is:

16748 = 22 × 531 × 791

Prime Factorization of 16761

Prime factors of 16761 are 3, 37, 151. Prime factorization of 16761 in exponential form is:

16761 = 31 × 371 × 1511

Now multiplying the highest exponent prime factors to calculate the LCM of 16748 and 16761.

LCM(16748,16761) = 22 × 531 × 791 × 31 × 371 × 1511
LCM(16748,16761) = 280713228