What is the Least Common Multiple of 62408 and 62414?

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 62408 and 62414 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62408 and 62414, than apply into the LCM equation.

GCF(62408,62414) = 2
LCM(62408,62414) = ( 62408 × 62414) / 2
LCM(62408,62414) = 3895132912 / 2
LCM(62408,62414) = 1947566456

Least Common Multiple (LCM) of 62408 and 62414 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62408 and 62414. First we will calculate the prime factors of 62408 and 62414.

Prime Factorization of 62408

Prime Factorization of 62414

Now multiplying the highest exponent prime factors to calculate the LCM of 62408 and 62414.

LCM(62408,62414) = 2³ × 29¹ × 269¹ × 11¹ × 2837¹
LCM(62408,62414) = 1947566456