What is the Least Common Multiple of 7890 and 7895?

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 7890 and 7895 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7890 and 7895, than apply into the LCM equation.

GCF(7890,7895) = 5
LCM(7890,7895) = ( 7890 × 7895) / 5
LCM(7890,7895) = 62291550 / 5
LCM(7890,7895) = 12458310

Least Common Multiple (LCM) of 7890 and 7895 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7890 and 7895. First we will calculate the prime factors of 7890 and 7895.

Prime Factorization of 7890

Prime Factorization of 7895

Now multiplying the highest exponent prime factors to calculate the LCM of 7890 and 7895.

LCM(7890,7895) = 2¹ × 3¹ × 5¹ × 263¹ × 1579¹
LCM(7890,7895) = 12458310