What is the Least Common Multiple of 42345 and 42350?

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 42345 and 42350 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42345 and 42350, than apply into the LCM equation.

GCF(42345,42350) = 5
LCM(42345,42350) = ( 42345 × 42350) / 5
LCM(42345,42350) = 1793310750 / 5
LCM(42345,42350) = 358662150

Least Common Multiple (LCM) of 42345 and 42350 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42345 and 42350. First we will calculate the prime factors of 42345 and 42350.

Prime Factorization of 42345

Prime Factorization of 42350

Now multiplying the highest exponent prime factors to calculate the LCM of 42345 and 42350.

LCM(42345,42350) = 3² × 5² × 941¹ × 2¹ × 7¹ × 11²
LCM(42345,42350) = 358662150