What is the Least Common Multiple of 53868 and 53878?

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 53868 and 53878 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53868 and 53878, than apply into the LCM equation.

GCF(53868,53878) = 2
LCM(53868,53878) = ( 53868 × 53878) / 2
LCM(53868,53878) = 2902300104 / 2
LCM(53868,53878) = 1451150052

Least Common Multiple (LCM) of 53868 and 53878 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53868 and 53878. First we will calculate the prime factors of 53868 and 53878.

Prime Factorization of 53868

Prime Factorization of 53878

Now multiplying the highest exponent prime factors to calculate the LCM of 53868 and 53878.

LCM(53868,53878) = 2² × 3¹ × 67² × 11¹ × 31¹ × 79¹
LCM(53868,53878) = 1451150052