What is the Least Common Multiple of 62448 and 62462?

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 62448 and 62462 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62448 and 62462, than apply into the LCM equation.

GCF(62448,62462) = 2
LCM(62448,62462) = ( 62448 × 62462) / 2
LCM(62448,62462) = 3900626976 / 2
LCM(62448,62462) = 1950313488

Least Common Multiple (LCM) of 62448 and 62462 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62448 and 62462. First we will calculate the prime factors of 62448 and 62462.

Prime Factorization of 62448

Prime Factorization of 62462

Now multiplying the highest exponent prime factors to calculate the LCM of 62448 and 62462.

LCM(62448,62462) = 2⁴ × 3¹ × 1301¹ × 31231¹
LCM(62448,62462) = 1950313488