What is the Least Common Multiple of 46736 and 46754?

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 46736 and 46754 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46736 and 46754, than apply into the LCM equation.

GCF(46736,46754) = 2
LCM(46736,46754) = ( 46736 × 46754) / 2
LCM(46736,46754) = 2185094944 / 2
LCM(46736,46754) = 1092547472

Least Common Multiple (LCM) of 46736 and 46754 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46736 and 46754. First we will calculate the prime factors of 46736 and 46754.

Prime Factorization of 46736

Prime Factorization of 46754

Now multiplying the highest exponent prime factors to calculate the LCM of 46736 and 46754.

LCM(46736,46754) = 2⁴ × 23¹ × 127¹ × 97¹ × 241¹
LCM(46736,46754) = 1092547472