What is the Least Common Multiple of 52874 and 52892?

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 52874 and 52892 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52874 and 52892, than apply into the LCM equation.

GCF(52874,52892) = 2
LCM(52874,52892) = ( 52874 × 52892) / 2
LCM(52874,52892) = 2796611608 / 2
LCM(52874,52892) = 1398305804

Least Common Multiple (LCM) of 52874 and 52892 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52874 and 52892. First we will calculate the prime factors of 52874 and 52892.

Prime Factorization of 52874

Prime Factorization of 52892

Now multiplying the highest exponent prime factors to calculate the LCM of 52874 and 52892.

LCM(52874,52892) = 2² × 26437¹ × 7¹ × 1889¹
LCM(52874,52892) = 1398305804