What is the Least Common Multiple of 62424 and 62434?

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 62424 and 62434 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62424 and 62434, than apply into the LCM equation.

GCF(62424,62434) = 2
LCM(62424,62434) = ( 62424 × 62434) / 2
LCM(62424,62434) = 3897380016 / 2
LCM(62424,62434) = 1948690008

Least Common Multiple (LCM) of 62424 and 62434 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62424 and 62434. First we will calculate the prime factors of 62424 and 62434.

Prime Factorization of 62424

Prime Factorization of 62434

Now multiplying the highest exponent prime factors to calculate the LCM of 62424 and 62434.

LCM(62424,62434) = 2³ × 3³ × 17² × 19¹ × 31¹ × 53¹
LCM(62424,62434) = 1948690008