What is the Least Common Multiple of 46240 and 46251?

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 46251 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 46251, than apply into the LCM equation.

GCF(46240,46251) = 1
LCM(46240,46251) = ( 46240 × 46251) / 1
LCM(46240,46251) = 2138646240 / 1
LCM(46240,46251) = 2138646240

Least Common Multiple (LCM) of 46240 and 46251 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46240 and 46251. First we will calculate the prime factors of 46240 and 46251.

Prime Factorization of 46240

Prime Factorization of 46251

Now multiplying the highest exponent prime factors to calculate the LCM of 46240 and 46251.

LCM(46240,46251) = 2⁵ × 5¹ × 17² × 3⁴ × 571¹
LCM(46240,46251) = 2138646240