What is the Least Common Multiple of 30412 and 30431?

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 30412 and 30431 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30412 and 30431, than apply into the LCM equation.

GCF(30412,30431) = 1
LCM(30412,30431) = ( 30412 × 30431) / 1
LCM(30412,30431) = 925467572 / 1
LCM(30412,30431) = 925467572

Least Common Multiple (LCM) of 30412 and 30431 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30412 and 30431. First we will calculate the prime factors of 30412 and 30431.

Prime Factorization of 30412

Prime Factorization of 30431

Now multiplying the highest exponent prime factors to calculate the LCM of 30412 and 30431.

LCM(30412,30431) = 2² × 7603¹ × 30431¹
LCM(30412,30431) = 925467572