What is the Least Common Multiple of 46789 and 46801?

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 46789 and 46801 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46789 and 46801, than apply into the LCM equation.

GCF(46789,46801) = 1
LCM(46789,46801) = ( 46789 × 46801) / 1
LCM(46789,46801) = 2189771989 / 1
LCM(46789,46801) = 2189771989

Least Common Multiple (LCM) of 46789 and 46801 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46789 and 46801. First we will calculate the prime factors of 46789 and 46801.

Prime Factorization of 46789

Prime Factorization of 46801

Now multiplying the highest exponent prime factors to calculate the LCM of 46789 and 46801.

LCM(46789,46801) = 71¹ × 659¹ × 17¹ × 2753¹
LCM(46789,46801) = 2189771989