What is the Least Common Multiple of 46898 and 46906?

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 46898 and 46906 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46898 and 46906, than apply into the LCM equation.

GCF(46898,46906) = 2
LCM(46898,46906) = ( 46898 × 46906) / 2
LCM(46898,46906) = 2199797588 / 2
LCM(46898,46906) = 1099898794

Least Common Multiple (LCM) of 46898 and 46906 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46898 and 46906. First we will calculate the prime factors of 46898 and 46906.

Prime Factorization of 46898

Prime Factorization of 46906

Now multiplying the highest exponent prime factors to calculate the LCM of 46898 and 46906.

LCM(46898,46906) = 2¹ × 131¹ × 179¹ × 47¹ × 499¹
LCM(46898,46906) = 1099898794