What is the Least Common Multiple of 71928 and 71935?

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 71928 and 71935 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71928 and 71935, than apply into the LCM equation.

GCF(71928,71935) = 1
LCM(71928,71935) = ( 71928 × 71935) / 1
LCM(71928,71935) = 5174140680 / 1
LCM(71928,71935) = 5174140680

Least Common Multiple (LCM) of 71928 and 71935 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71928 and 71935. First we will calculate the prime factors of 71928 and 71935.

Prime Factorization of 71928

Prime Factorization of 71935

Now multiplying the highest exponent prime factors to calculate the LCM of 71928 and 71935.

LCM(71928,71935) = 2³ × 3⁵ × 37¹ × 5¹ × 14387¹
LCM(71928,71935) = 5174140680