What is the Least Common Multiple of 87728 and 87742?

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 87728 and 87742 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87728 and 87742, than apply into the LCM equation.

GCF(87728,87742) = 2
LCM(87728,87742) = ( 87728 × 87742) / 2
LCM(87728,87742) = 7697430176 / 2
LCM(87728,87742) = 3848715088

Least Common Multiple (LCM) of 87728 and 87742 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87728 and 87742. First we will calculate the prime factors of 87728 and 87742.

Prime Factorization of 87728

Prime Factorization of 87742

Now multiplying the highest exponent prime factors to calculate the LCM of 87728 and 87742.

LCM(87728,87742) = 2⁴ × 5483¹ × 19¹ × 2309¹
LCM(87728,87742) = 3848715088