What is the Least Common Multiple of 46240 and 46245?

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 46245 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 46245, than apply into the LCM equation.

GCF(46240,46245) = 5
LCM(46240,46245) = ( 46240 × 46245) / 5
LCM(46240,46245) = 2138368800 / 5
LCM(46240,46245) = 427673760

Least Common Multiple (LCM) of 46240 and 46245 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46240 and 46245. First we will calculate the prime factors of 46240 and 46245.

Prime Factorization of 46240

Prime Factorization of 46245

Now multiplying the highest exponent prime factors to calculate the LCM of 46240 and 46245.

LCM(46240,46245) = 2⁵ × 5¹ × 17² × 3¹ × 3083¹
LCM(46240,46245) = 427673760