What is the Least Common Multiple of 42705 and 42719?

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 42705 and 42719 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42705 and 42719, than apply into the LCM equation.

GCF(42705,42719) = 1
LCM(42705,42719) = ( 42705 × 42719) / 1
LCM(42705,42719) = 1824314895 / 1
LCM(42705,42719) = 1824314895

Least Common Multiple (LCM) of 42705 and 42719 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42705 and 42719. First we will calculate the prime factors of 42705 and 42719.

Prime Factorization of 42705

Prime Factorization of 42719

Now multiplying the highest exponent prime factors to calculate the LCM of 42705 and 42719.

LCM(42705,42719) = 3² × 5¹ × 13¹ × 73¹ × 42719¹
LCM(42705,42719) = 1824314895