What is the Least Common Multiple of 71928 and 71940?

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 71940 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 71940, than apply into the LCM equation.

GCF(71928,71940) = 12
LCM(71928,71940) = ( 71928 × 71940) / 12
LCM(71928,71940) = 5174500320 / 12
LCM(71928,71940) = 431208360

Least Common Multiple (LCM) of 71928 and 71940 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71928 and 71940. First we will calculate the prime factors of 71928 and 71940.

Prime Factorization of 71928

Prime Factorization of 71940

Now multiplying the highest exponent prime factors to calculate the LCM of 71928 and 71940.

LCM(71928,71940) = 2³ × 3⁵ × 37¹ × 5¹ × 11¹ × 109¹
LCM(71928,71940) = 431208360