What is the Least Common Multiple of 7884 and 7890?

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 7884 and 7890 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7884 and 7890, than apply into the LCM equation.

GCF(7884,7890) = 6
LCM(7884,7890) = ( 7884 × 7890) / 6
LCM(7884,7890) = 62204760 / 6
LCM(7884,7890) = 10367460

Least Common Multiple (LCM) of 7884 and 7890 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7884 and 7890. First we will calculate the prime factors of 7884 and 7890.

Prime Factorization of 7884

Prime Factorization of 7890

Now multiplying the highest exponent prime factors to calculate the LCM of 7884 and 7890.

LCM(7884,7890) = 2² × 3³ × 73¹ × 5¹ × 263¹
LCM(7884,7890) = 10367460