What is the Least Common Multiple of 46909 and 46913?

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 46909 and 46913 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46909 and 46913, than apply into the LCM equation.

GCF(46909,46913) = 1
LCM(46909,46913) = ( 46909 × 46913) / 1
LCM(46909,46913) = 2200641917 / 1
LCM(46909,46913) = 2200641917

Least Common Multiple (LCM) of 46909 and 46913 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46909 and 46913. First we will calculate the prime factors of 46909 and 46913.

Prime Factorization of 46909

Prime Factorization of 46913

Now multiplying the highest exponent prime factors to calculate the LCM of 46909 and 46913.

LCM(46909,46913) = 61¹ × 769¹ × 43¹ × 1091¹
LCM(46909,46913) = 2200641917