What is the Least Common Multiple of 46529 and 46546?

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 46529 and 46546 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46529 and 46546, than apply into the LCM equation.

GCF(46529,46546) = 17
LCM(46529,46546) = ( 46529 × 46546) / 17
LCM(46529,46546) = 2165738834 / 17
LCM(46529,46546) = 127396402

Least Common Multiple (LCM) of 46529 and 46546 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46529 and 46546. First we will calculate the prime factors of 46529 and 46546.

Prime Factorization of 46529

Prime Factorization of 46546

Now multiplying the highest exponent prime factors to calculate the LCM of 46529 and 46546.

LCM(46529,46546) = 7¹ × 17² × 23¹ × 2¹ × 37²
LCM(46529,46546) = 127396402