What is the Least Common Multiple of 42315 and 42335?

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 42315 and 42335 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42315 and 42335, than apply into the LCM equation.

GCF(42315,42335) = 5
LCM(42315,42335) = ( 42315 × 42335) / 5
LCM(42315,42335) = 1791405525 / 5
LCM(42315,42335) = 358281105

Least Common Multiple (LCM) of 42315 and 42335 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42315 and 42335. First we will calculate the prime factors of 42315 and 42335.

Prime Factorization of 42315

Prime Factorization of 42335

Now multiplying the highest exponent prime factors to calculate the LCM of 42315 and 42335.

LCM(42315,42335) = 3¹ × 5¹ × 7¹ × 13¹ × 31¹ × 8467¹
LCM(42315,42335) = 358281105