What is the Least Common Multiple of 73866 and 73872?

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 73866 and 73872 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73866 and 73872, than apply into the LCM equation.

GCF(73866,73872) = 6
LCM(73866,73872) = ( 73866 × 73872) / 6
LCM(73866,73872) = 5456629152 / 6
LCM(73866,73872) = 909438192

Least Common Multiple (LCM) of 73866 and 73872 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73866 and 73872. First we will calculate the prime factors of 73866 and 73872.

Prime Factorization of 73866

Prime Factorization of 73872

Now multiplying the highest exponent prime factors to calculate the LCM of 73866 and 73872.

LCM(73866,73872) = 2⁴ × 3⁵ × 13¹ × 947¹ × 19¹
LCM(73866,73872) = 909438192