What is the Least Common Multiple of 46578 and 46583?

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 46578 and 46583 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46578 and 46583, than apply into the LCM equation.

GCF(46578,46583) = 1
LCM(46578,46583) = ( 46578 × 46583) / 1
LCM(46578,46583) = 2169742974 / 1
LCM(46578,46583) = 2169742974

Least Common Multiple (LCM) of 46578 and 46583 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46578 and 46583. First we will calculate the prime factors of 46578 and 46583.

Prime Factorization of 46578

Prime Factorization of 46583

Now multiplying the highest exponent prime factors to calculate the LCM of 46578 and 46583.

LCM(46578,46583) = 2¹ × 3¹ × 7¹ × 1109¹ × 37¹ × 1259¹
LCM(46578,46583) = 2169742974