What is the Least Common Multiple of 71785 and 71792?

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 71785 and 71792 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71785 and 71792, than apply into the LCM equation.

GCF(71785,71792) = 7
LCM(71785,71792) = ( 71785 × 71792) / 7
LCM(71785,71792) = 5153588720 / 7
LCM(71785,71792) = 736226960

Least Common Multiple (LCM) of 71785 and 71792 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71785 and 71792. First we will calculate the prime factors of 71785 and 71792.

Prime Factorization of 71785

Prime Factorization of 71792

Now multiplying the highest exponent prime factors to calculate the LCM of 71785 and 71792.

LCM(71785,71792) = 5¹ × 7² × 293¹ × 2⁴ × 641¹
LCM(71785,71792) = 736226960