What is the Least Common Multiple of 7874 and 7892?

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 7874 and 7892 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7874 and 7892, than apply into the LCM equation.

GCF(7874,7892) = 2
LCM(7874,7892) = ( 7874 × 7892) / 2
LCM(7874,7892) = 62141608 / 2
LCM(7874,7892) = 31070804

Least Common Multiple (LCM) of 7874 and 7892 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7874 and 7892. First we will calculate the prime factors of 7874 and 7892.

Prime Factorization of 7874

Prime Factorization of 7892

Now multiplying the highest exponent prime factors to calculate the LCM of 7874 and 7892.

LCM(7874,7892) = 2² × 31¹ × 127¹ × 1973¹
LCM(7874,7892) = 31070804