What is the Least Common Multiple of 67884 and 67899?

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 67884 and 67899 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67884 and 67899, than apply into the LCM equation.

GCF(67884,67899) = 3
LCM(67884,67899) = ( 67884 × 67899) / 3
LCM(67884,67899) = 4609255716 / 3
LCM(67884,67899) = 1536418572

Least Common Multiple (LCM) of 67884 and 67899 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67884 and 67899. First we will calculate the prime factors of 67884 and 67899.

Prime Factorization of 67884

Prime Factorization of 67899

Now multiplying the highest exponent prime factors to calculate the LCM of 67884 and 67899.

LCM(67884,67899) = 2² × 3¹ × 5657¹ × 13¹ × 1741¹
LCM(67884,67899) = 1536418572