What is the Least Common Multiple of 76256 and 76262?

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 76256 and 76262 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76256 and 76262, than apply into the LCM equation.

GCF(76256,76262) = 2
LCM(76256,76262) = ( 76256 × 76262) / 2
LCM(76256,76262) = 5815435072 / 2
LCM(76256,76262) = 2907717536

Least Common Multiple (LCM) of 76256 and 76262 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76256 and 76262. First we will calculate the prime factors of 76256 and 76262.

Prime Factorization of 76256

Prime Factorization of 76262

Now multiplying the highest exponent prime factors to calculate the LCM of 76256 and 76262.

LCM(76256,76262) = 2⁵ × 2383¹ × 17¹ × 2243¹
LCM(76256,76262) = 2907717536