GCF and LCM Calculator Logo

What is the Least Common Multiple of 46601 and 46610?

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 (LCM) of 46601 and 46610 is 2172072610.

LCM(46601,46610) = 2172072610

LCM Calculator and
and

Least Common Multiple of 46601 and 46610 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46601 and 46610, than apply into the LCM equation.

GCF(46601,46610) = 1
LCM(46601,46610) = ( 46601 × 46610) / 1
LCM(46601,46610) = 2172072610 / 1
LCM(46601,46610) = 2172072610

Least Common Multiple (LCM) of 46601 and 46610 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46601 and 46610. First we will calculate the prime factors of 46601 and 46610.

Prime Factorization of 46601

Prime factors of 46601 are 46601. Prime factorization of 46601 in exponential form is:

46601 = 466011

Prime Factorization of 46610

Prime factors of 46610 are 2, 5, 59, 79. Prime factorization of 46610 in exponential form is:

46610 = 21 × 51 × 591 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 46601 and 46610.

LCM(46601,46610) = 466011 × 21 × 51 × 591 × 791
LCM(46601,46610) = 2172072610