What is the Least Common Multiple of 71920 and 71932?

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 71920 and 71932 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71920 and 71932, than apply into the LCM equation.

GCF(71920,71932) = 4
LCM(71920,71932) = ( 71920 × 71932) / 4
LCM(71920,71932) = 5173349440 / 4
LCM(71920,71932) = 1293337360

Least Common Multiple (LCM) of 71920 and 71932 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71920 and 71932. First we will calculate the prime factors of 71920 and 71932.

Prime Factorization of 71920

Prime Factorization of 71932

Now multiplying the highest exponent prime factors to calculate the LCM of 71920 and 71932.

LCM(71920,71932) = 2⁴ × 5¹ × 29¹ × 31¹ × 7² × 367¹
LCM(71920,71932) = 1293337360