What is the Least Common Multiple of 46900 and 46919?

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 46900 and 46919 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46900 and 46919, than apply into the LCM equation.

GCF(46900,46919) = 1
LCM(46900,46919) = ( 46900 × 46919) / 1
LCM(46900,46919) = 2200501100 / 1
LCM(46900,46919) = 2200501100

Least Common Multiple (LCM) of 46900 and 46919 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46900 and 46919. First we will calculate the prime factors of 46900 and 46919.

Prime Factorization of 46900

Prime Factorization of 46919

Now multiplying the highest exponent prime factors to calculate the LCM of 46900 and 46919.

LCM(46900,46919) = 2² × 5² × 7¹ × 67¹ × 46919¹
LCM(46900,46919) = 2200501100