What is the Least Common Multiple of 87776 and 87794?

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 87776 and 87794 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87776 and 87794, than apply into the LCM equation.

GCF(87776,87794) = 2
LCM(87776,87794) = ( 87776 × 87794) / 2
LCM(87776,87794) = 7706206144 / 2
LCM(87776,87794) = 3853103072

Least Common Multiple (LCM) of 87776 and 87794 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87776 and 87794. First we will calculate the prime factors of 87776 and 87794.

Prime Factorization of 87776

Prime Factorization of 87794

Now multiplying the highest exponent prime factors to calculate the LCM of 87776 and 87794.

LCM(87776,87794) = 2⁵ × 13¹ × 211¹ × 7¹ × 6271¹
LCM(87776,87794) = 3853103072