What is the Least Common Multiple of 46715 and 46735?

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 46715 and 46735 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46715 and 46735, than apply into the LCM equation.

GCF(46715,46735) = 5
LCM(46715,46735) = ( 46715 × 46735) / 5
LCM(46715,46735) = 2183225525 / 5
LCM(46715,46735) = 436645105

Least Common Multiple (LCM) of 46715 and 46735 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46715 and 46735. First we will calculate the prime factors of 46715 and 46735.

Prime Factorization of 46715

Prime Factorization of 46735

Now multiplying the highest exponent prime factors to calculate the LCM of 46715 and 46735.

LCM(46715,46735) = 5¹ × 9343¹ × 13¹ × 719¹
LCM(46715,46735) = 436645105