What is the Least Common Multiple of 46490 and 46506?

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 46490 and 46506 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46490 and 46506, than apply into the LCM equation.

GCF(46490,46506) = 2
LCM(46490,46506) = ( 46490 × 46506) / 2
LCM(46490,46506) = 2162063940 / 2
LCM(46490,46506) = 1081031970

Least Common Multiple (LCM) of 46490 and 46506 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46490 and 46506. First we will calculate the prime factors of 46490 and 46506.

Prime Factorization of 46490

Prime Factorization of 46506

Now multiplying the highest exponent prime factors to calculate the LCM of 46490 and 46506.

LCM(46490,46506) = 2¹ × 5¹ × 4649¹ × 3¹ × 23¹ × 337¹
LCM(46490,46506) = 1081031970