What is the Least Common Multiple of 46624 and 46638?

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 46624 and 46638 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46624 and 46638, than apply into the LCM equation.

GCF(46624,46638) = 2
LCM(46624,46638) = ( 46624 × 46638) / 2
LCM(46624,46638) = 2174450112 / 2
LCM(46624,46638) = 1087225056

Least Common Multiple (LCM) of 46624 and 46638 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46624 and 46638. First we will calculate the prime factors of 46624 and 46638.

Prime Factorization of 46624

Prime Factorization of 46638

Now multiplying the highest exponent prime factors to calculate the LCM of 46624 and 46638.

LCM(46624,46638) = 2⁵ × 31¹ × 47¹ × 3² × 2591¹
LCM(46624,46638) = 1087225056