What is the Least Common Multiple of 39248 and 39262?

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 39248 and 39262 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39248 and 39262, than apply into the LCM equation.

GCF(39248,39262) = 2
LCM(39248,39262) = ( 39248 × 39262) / 2
LCM(39248,39262) = 1540954976 / 2
LCM(39248,39262) = 770477488

Least Common Multiple (LCM) of 39248 and 39262 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39248 and 39262. First we will calculate the prime factors of 39248 and 39262.

Prime Factorization of 39248

Prime Factorization of 39262

Now multiplying the highest exponent prime factors to calculate the LCM of 39248 and 39262.

LCM(39248,39262) = 2⁴ × 11¹ × 223¹ × 67¹ × 293¹
LCM(39248,39262) = 770477488