GCF and LCM Calculator Logo

What is the Least Common Multiple of 452 and 463?

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 452 and 463 is 209276.

LCM(452,463) = 209276

LCM Calculator and
and

Least Common Multiple of 452 and 463 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 452 and 463, than apply into the LCM equation.

GCF(452,463) = 1
LCM(452,463) = ( 452 × 463) / 1
LCM(452,463) = 209276 / 1
LCM(452,463) = 209276

Least Common Multiple (LCM) of 452 and 463 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 452 and 463. First we will calculate the prime factors of 452 and 463.

Prime Factorization of 452

Prime factors of 452 are 2, 113. Prime factorization of 452 in exponential form is:

452 = 22 × 1131

Prime Factorization of 463

Prime factors of 463 are 463. Prime factorization of 463 in exponential form is:

463 = 4631

Now multiplying the highest exponent prime factors to calculate the LCM of 452 and 463.

LCM(452,463) = 22 × 1131 × 4631
LCM(452,463) = 209276