What is the Least Common Multiple of 46776 and 46796?

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 46776 and 46796 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46776 and 46796, than apply into the LCM equation.

GCF(46776,46796) = 4
LCM(46776,46796) = ( 46776 × 46796) / 4
LCM(46776,46796) = 2188929696 / 4
LCM(46776,46796) = 547232424

Least Common Multiple (LCM) of 46776 and 46796 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46776 and 46796. First we will calculate the prime factors of 46776 and 46796.

Prime Factorization of 46776

Prime Factorization of 46796

Now multiplying the highest exponent prime factors to calculate the LCM of 46776 and 46796.

LCM(46776,46796) = 2³ × 3¹ × 1949¹ × 11699¹
LCM(46776,46796) = 547232424