What is the Least Common Multiple of 46920 and 46935?

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 46920 and 46935 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46920 and 46935, than apply into the LCM equation.

GCF(46920,46935) = 15
LCM(46920,46935) = ( 46920 × 46935) / 15
LCM(46920,46935) = 2202190200 / 15
LCM(46920,46935) = 146812680

Least Common Multiple (LCM) of 46920 and 46935 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46920 and 46935. First we will calculate the prime factors of 46920 and 46935.

Prime Factorization of 46920

Prime Factorization of 46935

Now multiplying the highest exponent prime factors to calculate the LCM of 46920 and 46935.

LCM(46920,46935) = 2³ × 3² × 5¹ × 17¹ × 23¹ × 7¹ × 149¹
LCM(46920,46935) = 146812680