What is the Least Common Multiple of 46750 and 46765?

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 46750 and 46765 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46750 and 46765, than apply into the LCM equation.

GCF(46750,46765) = 5
LCM(46750,46765) = ( 46750 × 46765) / 5
LCM(46750,46765) = 2186263750 / 5
LCM(46750,46765) = 437252750

Least Common Multiple (LCM) of 46750 and 46765 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46750 and 46765. First we will calculate the prime factors of 46750 and 46765.

Prime Factorization of 46750

Prime Factorization of 46765

Now multiplying the highest exponent prime factors to calculate the LCM of 46750 and 46765.

LCM(46750,46765) = 2¹ × 5³ × 11¹ × 17¹ × 47¹ × 199¹
LCM(46750,46765) = 437252750