What is the Least Common Multiple of 71740 and 71758?

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 71740 and 71758 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71740 and 71758, than apply into the LCM equation.

GCF(71740,71758) = 2
LCM(71740,71758) = ( 71740 × 71758) / 2
LCM(71740,71758) = 5147918920 / 2
LCM(71740,71758) = 2573959460

Least Common Multiple (LCM) of 71740 and 71758 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71740 and 71758. First we will calculate the prime factors of 71740 and 71758.

Prime Factorization of 71740

Prime Factorization of 71758

Now multiplying the highest exponent prime factors to calculate the LCM of 71740 and 71758.

LCM(71740,71758) = 2² × 5¹ × 17¹ × 211¹ × 35879¹
LCM(71740,71758) = 2573959460