What is the Least Common Multiple of 67905 and 67923?

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 67905 and 67923 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67905 and 67923, than apply into the LCM equation.

GCF(67905,67923) = 9
LCM(67905,67923) = ( 67905 × 67923) / 9
LCM(67905,67923) = 4612311315 / 9
LCM(67905,67923) = 512479035

Least Common Multiple (LCM) of 67905 and 67923 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67905 and 67923. First we will calculate the prime factors of 67905 and 67923.

Prime Factorization of 67905

Prime Factorization of 67923

Now multiplying the highest exponent prime factors to calculate the LCM of 67905 and 67923.

LCM(67905,67923) = 3³ × 5¹ × 503¹ × 7547¹
LCM(67905,67923) = 512479035