What is the Least Common Multiple of 7854 and 7870?

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 7854 and 7870 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7854 and 7870, than apply into the LCM equation.

GCF(7854,7870) = 2
LCM(7854,7870) = ( 7854 × 7870) / 2
LCM(7854,7870) = 61810980 / 2
LCM(7854,7870) = 30905490

Least Common Multiple (LCM) of 7854 and 7870 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7854 and 7870. First we will calculate the prime factors of 7854 and 7870.

Prime Factorization of 7854

Prime Factorization of 7870

Now multiplying the highest exponent prime factors to calculate the LCM of 7854 and 7870.

LCM(7854,7870) = 2¹ × 3¹ × 7¹ × 11¹ × 17¹ × 5¹ × 787¹
LCM(7854,7870) = 30905490