What is the Least Common Multiple of 73904 and 73921?

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 73921 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 73921, than apply into the LCM equation.

GCF(73904,73921) = 1
LCM(73904,73921) = ( 73904 × 73921) / 1
LCM(73904,73921) = 5463057584 / 1
LCM(73904,73921) = 5463057584

Least Common Multiple (LCM) of 73904 and 73921 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73904 and 73921. First we will calculate the prime factors of 73904 and 73921.

Prime Factorization of 73904

Prime Factorization of 73921

Now multiplying the highest exponent prime factors to calculate the LCM of 73904 and 73921.

LCM(73904,73921) = 2⁴ × 31¹ × 149¹ × 29¹ × 2549¹
LCM(73904,73921) = 5463057584