What is the Least Common Multiple of 73880 and 73884?

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 73880 and 73884 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73880 and 73884, than apply into the LCM equation.

GCF(73880,73884) = 4
LCM(73880,73884) = ( 73880 × 73884) / 4
LCM(73880,73884) = 5458549920 / 4
LCM(73880,73884) = 1364637480

Least Common Multiple (LCM) of 73880 and 73884 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73880 and 73884. First we will calculate the prime factors of 73880 and 73884.

Prime Factorization of 73880

Prime Factorization of 73884

Now multiplying the highest exponent prime factors to calculate the LCM of 73880 and 73884.

LCM(73880,73884) = 2³ × 5¹ × 1847¹ × 3¹ × 47¹ × 131¹
LCM(73880,73884) = 1364637480