GCF and LCM Calculator Logo

What is the Least Common Multiple of 46762 and 46766?

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 46762 and 46766 is 1093435846.

LCM(46762,46766) = 1093435846

LCM Calculator and
and

Least Common Multiple of 46762 and 46766 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46762 and 46766, than apply into the LCM equation.

GCF(46762,46766) = 2
LCM(46762,46766) = ( 46762 × 46766) / 2
LCM(46762,46766) = 2186871692 / 2
LCM(46762,46766) = 1093435846

Least Common Multiple (LCM) of 46762 and 46766 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46762 and 46766. First we will calculate the prime factors of 46762 and 46766.

Prime Factorization of 46762

Prime factors of 46762 are 2, 103, 227. Prime factorization of 46762 in exponential form is:

46762 = 21 × 1031 × 2271

Prime Factorization of 46766

Prime factors of 46766 are 2, 67, 349. Prime factorization of 46766 in exponential form is:

46766 = 21 × 671 × 3491

Now multiplying the highest exponent prime factors to calculate the LCM of 46762 and 46766.

LCM(46762,46766) = 21 × 1031 × 2271 × 671 × 3491
LCM(46762,46766) = 1093435846