What is the Least Common Multiple of 87790 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 87790 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 87790 and 87795, than apply into the LCM equation.

GCF(87790,87795) = 5
LCM(87790,87795) = ( 87790 × 87795) / 5
LCM(87790,87795) = 7707523050 / 5
LCM(87790,87795) = 1541504610

Least Common Multiple (LCM) of 87790 and 87795 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87790 and 87795. First we will calculate the prime factors of 87790 and 87795.

Prime Factorization of 87790

Prime Factorization of 87795

Now multiplying the highest exponent prime factors to calculate the LCM of 87790 and 87795.

LCM(87790,87795) = 2¹ × 5¹ × 8779¹ × 3² × 1951¹
LCM(87790,87795) = 1541504610