What is the Least Common Multiple of 63453 and 63463?

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 of 63453 and 63463 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63453 and 63463, than apply into the LCM equation.

GCF(63453,63463) = 1
LCM(63453,63463) = ( 63453 × 63463) / 1
LCM(63453,63463) = 4026917739 / 1
LCM(63453,63463) = 4026917739

Least Common Multiple (LCM) of 63453 and 63463 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63453 and 63463. First we will calculate the prime factors of 63453 and 63463.

Prime Factorization of 63453

Prime Factorization of 63463

Now multiplying the highest exponent prime factors to calculate the LCM of 63453 and 63463.

LCM(63453,63463) = 3¹ × 13¹ × 1627¹ × 63463¹
LCM(63453,63463) = 4026917739