What is the Least Common Multiple of 50415 and 50429?

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 50415 and 50429 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50415 and 50429, than apply into the LCM equation.

GCF(50415,50429) = 1
LCM(50415,50429) = ( 50415 × 50429) / 1
LCM(50415,50429) = 2542378035 / 1
LCM(50415,50429) = 2542378035

Least Common Multiple (LCM) of 50415 and 50429 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50415 and 50429. First we will calculate the prime factors of 50415 and 50429.

Prime Factorization of 50415

Prime Factorization of 50429

Now multiplying the highest exponent prime factors to calculate the LCM of 50415 and 50429.

LCM(50415,50429) = 3¹ × 5¹ × 3361¹ × 211¹ × 239¹
LCM(50415,50429) = 2542378035