What is the Least Common Multiple of 87744 and 87762?

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 87744 and 87762 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87744 and 87762, than apply into the LCM equation.

GCF(87744,87762) = 6
LCM(87744,87762) = ( 87744 × 87762) / 6
LCM(87744,87762) = 7700588928 / 6
LCM(87744,87762) = 1283431488

Least Common Multiple (LCM) of 87744 and 87762 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87744 and 87762. First we will calculate the prime factors of 87744 and 87762.

Prime Factorization of 87744

Prime Factorization of 87762

Now multiplying the highest exponent prime factors to calculate the LCM of 87744 and 87762.

LCM(87744,87762) = 2⁶ × 3¹ × 457¹ × 14627¹
LCM(87744,87762) = 1283431488