What is the Least Common Multiple of 68809 and 68827?

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 68809 and 68827 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68809 and 68827, than apply into the LCM equation.

GCF(68809,68827) = 1
LCM(68809,68827) = ( 68809 × 68827) / 1
LCM(68809,68827) = 4735917043 / 1
LCM(68809,68827) = 4735917043

Least Common Multiple (LCM) of 68809 and 68827 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68809 and 68827. First we will calculate the prime factors of 68809 and 68827.

Prime Factorization of 68809

Prime Factorization of 68827

Now multiplying the highest exponent prime factors to calculate the LCM of 68809 and 68827.

LCM(68809,68827) = 13¹ × 67¹ × 79¹ × 11¹ × 6257¹
LCM(68809,68827) = 4735917043