What is the Least Common Multiple of 42415 and 42425?

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 42415 and 42425 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42415 and 42425, than apply into the LCM equation.

GCF(42415,42425) = 5
LCM(42415,42425) = ( 42415 × 42425) / 5
LCM(42415,42425) = 1799456375 / 5
LCM(42415,42425) = 359891275

Least Common Multiple (LCM) of 42415 and 42425 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42415 and 42425. First we will calculate the prime factors of 42415 and 42425.

Prime Factorization of 42415

Prime Factorization of 42425

Now multiplying the highest exponent prime factors to calculate the LCM of 42415 and 42425.

LCM(42415,42425) = 5² × 17¹ × 499¹ × 1697¹
LCM(42415,42425) = 359891275