What is the Least Common Multiple of 42695 and 42710?

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 42695 and 42710 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42695 and 42710, than apply into the LCM equation.

GCF(42695,42710) = 5
LCM(42695,42710) = ( 42695 × 42710) / 5
LCM(42695,42710) = 1823503450 / 5
LCM(42695,42710) = 364700690

Least Common Multiple (LCM) of 42695 and 42710 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42695 and 42710. First we will calculate the prime factors of 42695 and 42710.

Prime Factorization of 42695

Prime Factorization of 42710

Now multiplying the highest exponent prime factors to calculate the LCM of 42695 and 42710.

LCM(42695,42710) = 5¹ × 8539¹ × 2¹ × 4271¹
LCM(42695,42710) = 364700690