GCF and LCM Calculator Logo

What is the Least Common Multiple of 16772 and 16783?

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 16772 and 16783 is 281484476.

LCM(16772,16783) = 281484476

LCM Calculator and
and

Least Common Multiple of 16772 and 16783 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16772 and 16783, than apply into the LCM equation.

GCF(16772,16783) = 1
LCM(16772,16783) = ( 16772 × 16783) / 1
LCM(16772,16783) = 281484476 / 1
LCM(16772,16783) = 281484476

Least Common Multiple (LCM) of 16772 and 16783 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16772 and 16783. First we will calculate the prime factors of 16772 and 16783.

Prime Factorization of 16772

Prime factors of 16772 are 2, 7, 599. Prime factorization of 16772 in exponential form is:

16772 = 22 × 71 × 5991

Prime Factorization of 16783

Prime factors of 16783 are 13, 1291. Prime factorization of 16783 in exponential form is:

16783 = 131 × 12911

Now multiplying the highest exponent prime factors to calculate the LCM of 16772 and 16783.

LCM(16772,16783) = 22 × 71 × 5991 × 131 × 12911
LCM(16772,16783) = 281484476