What is the Least Common Multiple of 71920 and 71934?

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 71934 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 71934, than apply into the LCM equation.

GCF(71920,71934) = 2
LCM(71920,71934) = ( 71920 × 71934) / 2
LCM(71920,71934) = 5173493280 / 2
LCM(71920,71934) = 2586746640

Least Common Multiple (LCM) of 71920 and 71934 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71920 and 71934. First we will calculate the prime factors of 71920 and 71934.

Prime Factorization of 71920

Prime Factorization of 71934

Now multiplying the highest exponent prime factors to calculate the LCM of 71920 and 71934.

LCM(71920,71934) = 2⁴ × 5¹ × 29¹ × 31¹ × 3¹ × 19¹ × 631¹
LCM(71920,71934) = 2586746640