What is the Least Common Multiple of 46991 and 47006?

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 46991 and 47006 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46991 and 47006, than apply into the LCM equation.

GCF(46991,47006) = 1
LCM(46991,47006) = ( 46991 × 47006) / 1
LCM(46991,47006) = 2208858946 / 1
LCM(46991,47006) = 2208858946

Least Common Multiple (LCM) of 46991 and 47006 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46991 and 47006. First we will calculate the prime factors of 46991 and 47006.

Prime Factorization of 46991

Prime Factorization of 47006

Now multiplying the highest exponent prime factors to calculate the LCM of 46991 and 47006.

LCM(46991,47006) = 7³ × 137¹ × 2¹ × 19¹ × 1237¹
LCM(46991,47006) = 2208858946