What is the Least Common Multiple of 46802 and 46815?

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 46802 and 46815 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46802 and 46815, than apply into the LCM equation.

GCF(46802,46815) = 1
LCM(46802,46815) = ( 46802 × 46815) / 1
LCM(46802,46815) = 2191035630 / 1
LCM(46802,46815) = 2191035630

Least Common Multiple (LCM) of 46802 and 46815 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46802 and 46815. First we will calculate the prime factors of 46802 and 46815.

Prime Factorization of 46802

Prime Factorization of 46815

Now multiplying the highest exponent prime factors to calculate the LCM of 46802 and 46815.

LCM(46802,46815) = 2¹ × 7¹ × 3343¹ × 3¹ × 5¹ × 3121¹
LCM(46802,46815) = 2191035630