What is the Least Common Multiple of 68874 and 68892?

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 68874 and 68892 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68874 and 68892, than apply into the LCM equation.

GCF(68874,68892) = 6
LCM(68874,68892) = ( 68874 × 68892) / 6
LCM(68874,68892) = 4744867608 / 6
LCM(68874,68892) = 790811268

Least Common Multiple (LCM) of 68874 and 68892 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68874 and 68892. First we will calculate the prime factors of 68874 and 68892.

Prime Factorization of 68874

Prime Factorization of 68892

Now multiplying the highest exponent prime factors to calculate the LCM of 68874 and 68892.

LCM(68874,68892) = 2² × 3¹ × 13¹ × 883¹ × 5741¹
LCM(68874,68892) = 790811268