What is the Least Common Multiple of 60032 and 60046?

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 60032 and 60046 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60032 and 60046, than apply into the LCM equation.

GCF(60032,60046) = 14
LCM(60032,60046) = ( 60032 × 60046) / 14
LCM(60032,60046) = 3604681472 / 14
LCM(60032,60046) = 257477248

Least Common Multiple (LCM) of 60032 and 60046 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60032 and 60046. First we will calculate the prime factors of 60032 and 60046.

Prime Factorization of 60032

Prime Factorization of 60046

Now multiplying the highest exponent prime factors to calculate the LCM of 60032 and 60046.

LCM(60032,60046) = 2⁷ × 7¹ × 67¹ × 4289¹
LCM(60032,60046) = 257477248