What is the Least Common Multiple of 46608 and 46624?

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 46608 and 46624 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46608 and 46624, than apply into the LCM equation.

GCF(46608,46624) = 16
LCM(46608,46624) = ( 46608 × 46624) / 16
LCM(46608,46624) = 2173051392 / 16
LCM(46608,46624) = 135815712

Least Common Multiple (LCM) of 46608 and 46624 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46608 and 46624. First we will calculate the prime factors of 46608 and 46624.

Prime Factorization of 46608

Prime Factorization of 46624

Now multiplying the highest exponent prime factors to calculate the LCM of 46608 and 46624.

LCM(46608,46624) = 2⁵ × 3¹ × 971¹ × 31¹ × 47¹
LCM(46608,46624) = 135815712