What is the Least Common Multiple of 87776 and 87795?

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 87795 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 87795, than apply into the LCM equation.

GCF(87776,87795) = 1
LCM(87776,87795) = ( 87776 × 87795) / 1
LCM(87776,87795) = 7706293920 / 1
LCM(87776,87795) = 7706293920

Least Common Multiple (LCM) of 87776 and 87795 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87776 and 87795. First we will calculate the prime factors of 87776 and 87795.

Prime Factorization of 87776

Prime Factorization of 87795

Now multiplying the highest exponent prime factors to calculate the LCM of 87776 and 87795.

LCM(87776,87795) = 2⁵ × 13¹ × 211¹ × 3² × 5¹ × 1951¹
LCM(87776,87795) = 7706293920