What is the Least Common Multiple of 46640 and 46647?

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 46640 and 46647 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46640 and 46647, than apply into the LCM equation.

GCF(46640,46647) = 1
LCM(46640,46647) = ( 46640 × 46647) / 1
LCM(46640,46647) = 2175616080 / 1
LCM(46640,46647) = 2175616080

Least Common Multiple (LCM) of 46640 and 46647 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46640 and 46647. First we will calculate the prime factors of 46640 and 46647.

Prime Factorization of 46640

Prime Factorization of 46647

Now multiplying the highest exponent prime factors to calculate the LCM of 46640 and 46647.

LCM(46640,46647) = 2⁴ × 5¹ × 11¹ × 53¹ × 3² × 71¹ × 73¹
LCM(46640,46647) = 2175616080