What is the Least Common Multiple of 73892 and 73905?

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 73892 and 73905 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73892 and 73905, than apply into the LCM equation.

GCF(73892,73905) = 13
LCM(73892,73905) = ( 73892 × 73905) / 13
LCM(73892,73905) = 5460988260 / 13
LCM(73892,73905) = 420076020

Least Common Multiple (LCM) of 73892 and 73905 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73892 and 73905. First we will calculate the prime factors of 73892 and 73905.

Prime Factorization of 73892

Prime Factorization of 73905

Now multiplying the highest exponent prime factors to calculate the LCM of 73892 and 73905.

LCM(73892,73905) = 2² × 7² × 13¹ × 29¹ × 3¹ × 5¹ × 379¹
LCM(73892,73905) = 420076020