GCF and LCM Calculator Logo

What is the Least Common Multiple of 17537 and 17546?

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 17537 and 17546 is 307704202.

LCM(17537,17546) = 307704202

LCM Calculator and
and

Least Common Multiple of 17537 and 17546 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17537 and 17546, than apply into the LCM equation.

GCF(17537,17546) = 1
LCM(17537,17546) = ( 17537 × 17546) / 1
LCM(17537,17546) = 307704202 / 1
LCM(17537,17546) = 307704202

Least Common Multiple (LCM) of 17537 and 17546 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17537 and 17546. First we will calculate the prime factors of 17537 and 17546.

Prime Factorization of 17537

Prime factors of 17537 are 13, 19, 71. Prime factorization of 17537 in exponential form is:

17537 = 131 × 191 × 711

Prime Factorization of 17546

Prime factors of 17546 are 2, 31, 283. Prime factorization of 17546 in exponential form is:

17546 = 21 × 311 × 2831

Now multiplying the highest exponent prime factors to calculate the LCM of 17537 and 17546.

LCM(17537,17546) = 131 × 191 × 711 × 21 × 311 × 2831
LCM(17537,17546) = 307704202