GCF and LCM Calculator Logo

What is the Least Common Multiple of 431 and 437?

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 431 and 437 is 188347.

LCM(431,437) = 188347

LCM Calculator and
and

Least Common Multiple of 431 and 437 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 431 and 437, than apply into the LCM equation.

GCF(431,437) = 1
LCM(431,437) = ( 431 × 437) / 1
LCM(431,437) = 188347 / 1
LCM(431,437) = 188347

Least Common Multiple (LCM) of 431 and 437 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 431 and 437. First we will calculate the prime factors of 431 and 437.

Prime Factorization of 431

Prime factors of 431 are 431. Prime factorization of 431 in exponential form is:

431 = 4311

Prime Factorization of 437

Prime factors of 437 are 19, 23. Prime factorization of 437 in exponential form is:

437 = 191 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 431 and 437.

LCM(431,437) = 4311 × 191 × 231
LCM(431,437) = 188347