What is the Least Common Multiple of 46374 and 46394?

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 46374 and 46394 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46374 and 46394, than apply into the LCM equation.

GCF(46374,46394) = 2
LCM(46374,46394) = ( 46374 × 46394) / 2
LCM(46374,46394) = 2151475356 / 2
LCM(46374,46394) = 1075737678

Least Common Multiple (LCM) of 46374 and 46394 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46374 and 46394. First we will calculate the prime factors of 46374 and 46394.

Prime Factorization of 46374

Prime Factorization of 46394

Now multiplying the highest exponent prime factors to calculate the LCM of 46374 and 46394.

LCM(46374,46394) = 2¹ × 3¹ × 59¹ × 131¹ × 23197¹
LCM(46374,46394) = 1075737678