What is the Least Common Multiple of 71758 and 71774?

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 71758 and 71774 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71758 and 71774, than apply into the LCM equation.

GCF(71758,71774) = 2
LCM(71758,71774) = ( 71758 × 71774) / 2
LCM(71758,71774) = 5150358692 / 2
LCM(71758,71774) = 2575179346

Least Common Multiple (LCM) of 71758 and 71774 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71758 and 71774. First we will calculate the prime factors of 71758 and 71774.

Prime Factorization of 71758

Prime Factorization of 71774

Now multiplying the highest exponent prime factors to calculate the LCM of 71758 and 71774.

LCM(71758,71774) = 2¹ × 35879¹ × 17¹ × 2111¹
LCM(71758,71774) = 2575179346