What is the Least Common Multiple of 73904 and 73922?

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 73904 and 73922 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73904 and 73922, than apply into the LCM equation.

GCF(73904,73922) = 2
LCM(73904,73922) = ( 73904 × 73922) / 2
LCM(73904,73922) = 5463131488 / 2
LCM(73904,73922) = 2731565744

Least Common Multiple (LCM) of 73904 and 73922 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73904 and 73922. First we will calculate the prime factors of 73904 and 73922.

Prime Factorization of 73904

Prime Factorization of 73922

Now multiplying the highest exponent prime factors to calculate the LCM of 73904 and 73922.

LCM(73904,73922) = 2⁴ × 31¹ × 149¹ × 23¹ × 1607¹
LCM(73904,73922) = 2731565744