What is the Least Common Multiple of 46240 and 46252?

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 46252 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 46252, than apply into the LCM equation.

GCF(46240,46252) = 4
LCM(46240,46252) = ( 46240 × 46252) / 4
LCM(46240,46252) = 2138692480 / 4
LCM(46240,46252) = 534673120

Least Common Multiple (LCM) of 46240 and 46252 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46240 and 46252. First we will calculate the prime factors of 46240 and 46252.

Prime Factorization of 46240

Prime Factorization of 46252

Now multiplying the highest exponent prime factors to calculate the LCM of 46240 and 46252.

LCM(46240,46252) = 2⁵ × 5¹ × 17² × 31¹ × 373¹
LCM(46240,46252) = 534673120