What is the Least Common Multiple of 46688 and 46708?

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 46688 and 46708 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46688 and 46708, than apply into the LCM equation.

GCF(46688,46708) = 4
LCM(46688,46708) = ( 46688 × 46708) / 4
LCM(46688,46708) = 2180703104 / 4
LCM(46688,46708) = 545175776

Least Common Multiple (LCM) of 46688 and 46708 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46688 and 46708. First we will calculate the prime factors of 46688 and 46708.

Prime Factorization of 46688

Prime Factorization of 46708

Now multiplying the highest exponent prime factors to calculate the LCM of 46688 and 46708.

LCM(46688,46708) = 2⁵ × 1459¹ × 11677¹
LCM(46688,46708) = 545175776