What is the Least Common Multiple of 62434 and 62448?

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 62448 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 62448, than apply into the LCM equation.

GCF(62434,62448) = 2
LCM(62434,62448) = ( 62434 × 62448) / 2
LCM(62434,62448) = 3898878432 / 2
LCM(62434,62448) = 1949439216

Least Common Multiple (LCM) of 62434 and 62448 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62434 and 62448. First we will calculate the prime factors of 62434 and 62448.

Prime Factorization of 62434

Prime Factorization of 62448

Now multiplying the highest exponent prime factors to calculate the LCM of 62434 and 62448.

LCM(62434,62448) = 2⁴ × 19¹ × 31¹ × 53¹ × 3¹ × 1301¹
LCM(62434,62448) = 1949439216