What is the Least Common Multiple of 46570 and 46588?

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 46570 and 46588 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46570 and 46588, than apply into the LCM equation.

GCF(46570,46588) = 2
LCM(46570,46588) = ( 46570 × 46588) / 2
LCM(46570,46588) = 2169603160 / 2
LCM(46570,46588) = 1084801580

Least Common Multiple (LCM) of 46570 and 46588 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46570 and 46588. First we will calculate the prime factors of 46570 and 46588.

Prime Factorization of 46570

Prime Factorization of 46588

Now multiplying the highest exponent prime factors to calculate the LCM of 46570 and 46588.

LCM(46570,46588) = 2² × 5¹ × 4657¹ × 19¹ × 613¹
LCM(46570,46588) = 1084801580