What is the Least Common Multiple of 46672 and 46680?

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 46672 and 46680 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46672 and 46680, than apply into the LCM equation.

GCF(46672,46680) = 8
LCM(46672,46680) = ( 46672 × 46680) / 8
LCM(46672,46680) = 2178648960 / 8
LCM(46672,46680) = 272331120

Least Common Multiple (LCM) of 46672 and 46680 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46672 and 46680. First we will calculate the prime factors of 46672 and 46680.

Prime Factorization of 46672

Prime Factorization of 46680

Now multiplying the highest exponent prime factors to calculate the LCM of 46672 and 46680.

LCM(46672,46680) = 2⁴ × 2917¹ × 3¹ × 5¹ × 389¹
LCM(46672,46680) = 272331120