What is the Least Common Multiple of 46238 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 46238 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 46238 and 46252, than apply into the LCM equation.

GCF(46238,46252) = 2
LCM(46238,46252) = ( 46238 × 46252) / 2
LCM(46238,46252) = 2138599976 / 2
LCM(46238,46252) = 1069299988

Least Common Multiple (LCM) of 46238 and 46252 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46238 and 46252. First we will calculate the prime factors of 46238 and 46252.

Prime Factorization of 46238

Prime Factorization of 46252

Now multiplying the highest exponent prime factors to calculate the LCM of 46238 and 46252.

LCM(46238,46252) = 2² × 61¹ × 379¹ × 31¹ × 373¹
LCM(46238,46252) = 1069299988