What is the Least Common Multiple of 62434 and 62438?

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 62434 and 62438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62434 and 62438, than apply into the LCM equation.

GCF(62434,62438) = 2
LCM(62434,62438) = ( 62434 × 62438) / 2
LCM(62434,62438) = 3898254092 / 2
LCM(62434,62438) = 1949127046

Least Common Multiple (LCM) of 62434 and 62438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62434 and 62438. First we will calculate the prime factors of 62434 and 62438.

Prime Factorization of 62434

Prime Factorization of 62438

Now multiplying the highest exponent prime factors to calculate the LCM of 62434 and 62438.

LCM(62434,62438) = 2¹ × 19¹ × 31¹ × 53¹ × 31219¹
LCM(62434,62438) = 1949127046