What is the Least Common Multiple of 62451 and 62457?

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 62451 and 62457 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62451 and 62457, than apply into the LCM equation.

GCF(62451,62457) = 3
LCM(62451,62457) = ( 62451 × 62457) / 3
LCM(62451,62457) = 3900502107 / 3
LCM(62451,62457) = 1300167369

Least Common Multiple (LCM) of 62451 and 62457 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62451 and 62457. First we will calculate the prime factors of 62451 and 62457.

Prime Factorization of 62451

Prime Factorization of 62457

Now multiplying the highest exponent prime factors to calculate the LCM of 62451 and 62457.

LCM(62451,62457) = 3⁵ × 257¹ × 109¹ × 191¹
LCM(62451,62457) = 1300167369