What is the Least Common Multiple of 7890 and 7894?

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 7894 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 7894, than apply into the LCM equation.

GCF(7890,7894) = 2
LCM(7890,7894) = ( 7890 × 7894) / 2
LCM(7890,7894) = 62283660 / 2
LCM(7890,7894) = 31141830

Least Common Multiple (LCM) of 7890 and 7894 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7890 and 7894. First we will calculate the prime factors of 7890 and 7894.

Prime Factorization of 7890

Prime Factorization of 7894

Now multiplying the highest exponent prime factors to calculate the LCM of 7890 and 7894.

LCM(7890,7894) = 2¹ × 3¹ × 5¹ × 263¹ × 3947¹
LCM(7890,7894) = 31141830