What is the Least Common Multiple of 46970 and 46975?

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 46970 and 46975 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46970 and 46975, than apply into the LCM equation.

GCF(46970,46975) = 5
LCM(46970,46975) = ( 46970 × 46975) / 5
LCM(46970,46975) = 2206415750 / 5
LCM(46970,46975) = 441283150

Least Common Multiple (LCM) of 46970 and 46975 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46970 and 46975. First we will calculate the prime factors of 46970 and 46975.

Prime Factorization of 46970

Prime Factorization of 46975

Now multiplying the highest exponent prime factors to calculate the LCM of 46970 and 46975.

LCM(46970,46975) = 2¹ × 5² × 7¹ × 11¹ × 61¹ × 1879¹
LCM(46970,46975) = 441283150