What is the Least Common Multiple of 71774 and 71785?

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 71774 and 71785 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71774 and 71785, than apply into the LCM equation.

GCF(71774,71785) = 1
LCM(71774,71785) = ( 71774 × 71785) / 1
LCM(71774,71785) = 5152296590 / 1
LCM(71774,71785) = 5152296590

Least Common Multiple (LCM) of 71774 and 71785 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71774 and 71785. First we will calculate the prime factors of 71774 and 71785.

Prime Factorization of 71774

Prime Factorization of 71785

Now multiplying the highest exponent prime factors to calculate the LCM of 71774 and 71785.

LCM(71774,71785) = 2¹ × 17¹ × 2111¹ × 5¹ × 7² × 293¹
LCM(71774,71785) = 5152296590