What is the Least Common Multiple of 46340 and 46345?

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 46340 and 46345 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46340 and 46345, than apply into the LCM equation.

GCF(46340,46345) = 5
LCM(46340,46345) = ( 46340 × 46345) / 5
LCM(46340,46345) = 2147627300 / 5
LCM(46340,46345) = 429525460

Least Common Multiple (LCM) of 46340 and 46345 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46340 and 46345. First we will calculate the prime factors of 46340 and 46345.

Prime Factorization of 46340

Prime Factorization of 46345

Now multiplying the highest exponent prime factors to calculate the LCM of 46340 and 46345.

LCM(46340,46345) = 2² × 5¹ × 7¹ × 331¹ × 13¹ × 23¹ × 31¹
LCM(46340,46345) = 429525460