What is the Least Common Multiple of 40705 and 40719?

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 40705 and 40719 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40705 and 40719, than apply into the LCM equation.

GCF(40705,40719) = 7
LCM(40705,40719) = ( 40705 × 40719) / 7
LCM(40705,40719) = 1657466895 / 7
LCM(40705,40719) = 236780985

Least Common Multiple (LCM) of 40705 and 40719 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40705 and 40719. First we will calculate the prime factors of 40705 and 40719.

Prime Factorization of 40705

Prime Factorization of 40719

Now multiplying the highest exponent prime factors to calculate the LCM of 40705 and 40719.

LCM(40705,40719) = 5¹ × 7² × 1163¹ × 3¹ × 277¹
LCM(40705,40719) = 236780985