What is the Least Common Multiple of 46250 and 46270?

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 46250 and 46270 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46250 and 46270, than apply into the LCM equation.

GCF(46250,46270) = 10
LCM(46250,46270) = ( 46250 × 46270) / 10
LCM(46250,46270) = 2139987500 / 10
LCM(46250,46270) = 213998750

Least Common Multiple (LCM) of 46250 and 46270 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46250 and 46270. First we will calculate the prime factors of 46250 and 46270.

Prime Factorization of 46250

Prime Factorization of 46270

Now multiplying the highest exponent prime factors to calculate the LCM of 46250 and 46270.

LCM(46250,46270) = 2¹ × 5⁴ × 37¹ × 7¹ × 661¹
LCM(46250,46270) = 213998750