What is the Least Common Multiple of 73446 and 73451?

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 73446 and 73451 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73446 and 73451, than apply into the LCM equation.

GCF(73446,73451) = 1
LCM(73446,73451) = ( 73446 × 73451) / 1
LCM(73446,73451) = 5394682146 / 1
LCM(73446,73451) = 5394682146

Least Common Multiple (LCM) of 73446 and 73451 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73446 and 73451. First we will calculate the prime factors of 73446 and 73451.

Prime Factorization of 73446

Prime Factorization of 73451

Now multiplying the highest exponent prime factors to calculate the LCM of 73446 and 73451.

LCM(73446,73451) = 2¹ × 3¹ × 12241¹ × 7² × 1499¹
LCM(73446,73451) = 5394682146