What is the Least Common Multiple of 46680 and 46688?

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 46680 and 46688 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46680 and 46688, than apply into the LCM equation.

GCF(46680,46688) = 8
LCM(46680,46688) = ( 46680 × 46688) / 8
LCM(46680,46688) = 2179395840 / 8
LCM(46680,46688) = 272424480

Least Common Multiple (LCM) of 46680 and 46688 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46680 and 46688. First we will calculate the prime factors of 46680 and 46688.

Prime Factorization of 46680

Prime Factorization of 46688

Now multiplying the highest exponent prime factors to calculate the LCM of 46680 and 46688.

LCM(46680,46688) = 2⁵ × 3¹ × 5¹ × 389¹ × 1459¹
LCM(46680,46688) = 272424480