What is the Least Common Multiple of 73716 and 73735?

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 73716 and 73735 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73716 and 73735, than apply into the LCM equation.

GCF(73716,73735) = 1
LCM(73716,73735) = ( 73716 × 73735) / 1
LCM(73716,73735) = 5435449260 / 1
LCM(73716,73735) = 5435449260

Least Common Multiple (LCM) of 73716 and 73735 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73716 and 73735. First we will calculate the prime factors of 73716 and 73735.

Prime Factorization of 73716

Prime Factorization of 73735

Now multiplying the highest exponent prime factors to calculate the LCM of 73716 and 73735.

LCM(73716,73735) = 2² × 3¹ × 6143¹ × 5¹ × 14747¹
LCM(73716,73735) = 5435449260