What is the Least Common Multiple of 46236 and 46240?

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 46236 and 46240 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46236 and 46240, than apply into the LCM equation.

GCF(46236,46240) = 4
LCM(46236,46240) = ( 46236 × 46240) / 4
LCM(46236,46240) = 2137952640 / 4
LCM(46236,46240) = 534488160

Least Common Multiple (LCM) of 46236 and 46240 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46236 and 46240. First we will calculate the prime factors of 46236 and 46240.

Prime Factorization of 46236

Prime Factorization of 46240

Now multiplying the highest exponent prime factors to calculate the LCM of 46236 and 46240.

LCM(46236,46240) = 2⁵ × 3¹ × 3853¹ × 5¹ × 17²
LCM(46236,46240) = 534488160