What is the Least Common Multiple of 73874 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 73874 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 73874 and 73884, than apply into the LCM equation.

GCF(73874,73884) = 2
LCM(73874,73884) = ( 73874 × 73884) / 2
LCM(73874,73884) = 5458106616 / 2
LCM(73874,73884) = 2729053308

Least Common Multiple (LCM) of 73874 and 73884 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73874 and 73884. First we will calculate the prime factors of 73874 and 73884.

Prime Factorization of 73874

Prime Factorization of 73884

Now multiplying the highest exponent prime factors to calculate the LCM of 73874 and 73884.

LCM(73874,73884) = 2² × 43¹ × 859¹ × 3¹ × 47¹ × 131¹
LCM(73874,73884) = 2729053308