What is the Least Common Multiple of 42412 and 42430?

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 42412 and 42430 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42412 and 42430, than apply into the LCM equation.

GCF(42412,42430) = 2
LCM(42412,42430) = ( 42412 × 42430) / 2
LCM(42412,42430) = 1799541160 / 2
LCM(42412,42430) = 899770580

Least Common Multiple (LCM) of 42412 and 42430 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42412 and 42430. First we will calculate the prime factors of 42412 and 42430.

Prime Factorization of 42412

Prime Factorization of 42430

Now multiplying the highest exponent prime factors to calculate the LCM of 42412 and 42430.

LCM(42412,42430) = 2² × 23¹ × 461¹ × 5¹ × 4243¹
LCM(42412,42430) = 899770580