What is the Least Common Multiple of 62459 and 62463?

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 62459 and 62463 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62459 and 62463, than apply into the LCM equation.

GCF(62459,62463) = 1
LCM(62459,62463) = ( 62459 × 62463) / 1
LCM(62459,62463) = 3901376517 / 1
LCM(62459,62463) = 3901376517

Least Common Multiple (LCM) of 62459 and 62463 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62459 and 62463. First we will calculate the prime factors of 62459 and 62463.

Prime Factorization of 62459

Prime Factorization of 62463

Now multiplying the highest exponent prime factors to calculate the LCM of 62459 and 62463.

LCM(62459,62463) = 62459¹ × 3¹ × 47¹ × 443¹
LCM(62459,62463) = 3901376517