What is the Least Common Multiple of 46240 and 46246?

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 46240 and 46246 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46240 and 46246, than apply into the LCM equation.

GCF(46240,46246) = 2
LCM(46240,46246) = ( 46240 × 46246) / 2
LCM(46240,46246) = 2138415040 / 2
LCM(46240,46246) = 1069207520

Least Common Multiple (LCM) of 46240 and 46246 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46240 and 46246. First we will calculate the prime factors of 46240 and 46246.

Prime Factorization of 46240

Prime Factorization of 46246

Now multiplying the highest exponent prime factors to calculate the LCM of 46240 and 46246.

LCM(46240,46246) = 2⁵ × 5¹ × 17² × 19¹ × 1217¹
LCM(46240,46246) = 1069207520