What is the Least Common Multiple of 78874 and 78892?

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 78874 and 78892 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78874 and 78892, than apply into the LCM equation.

GCF(78874,78892) = 2
LCM(78874,78892) = ( 78874 × 78892) / 2
LCM(78874,78892) = 6222527608 / 2
LCM(78874,78892) = 3111263804

Least Common Multiple (LCM) of 78874 and 78892 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78874 and 78892. First we will calculate the prime factors of 78874 and 78892.

Prime Factorization of 78874

Prime Factorization of 78892

Now multiplying the highest exponent prime factors to calculate the LCM of 78874 and 78892.

LCM(78874,78892) = 2² × 113¹ × 349¹ × 11² × 163¹
LCM(78874,78892) = 3111263804