What is the Least Common Multiple of 46950 and 46970?

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 46950 and 46970 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46950 and 46970, than apply into the LCM equation.

GCF(46950,46970) = 10
LCM(46950,46970) = ( 46950 × 46970) / 10
LCM(46950,46970) = 2205241500 / 10
LCM(46950,46970) = 220524150

Least Common Multiple (LCM) of 46950 and 46970 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46950 and 46970. First we will calculate the prime factors of 46950 and 46970.

Prime Factorization of 46950

Prime Factorization of 46970

Now multiplying the highest exponent prime factors to calculate the LCM of 46950 and 46970.

LCM(46950,46970) = 2¹ × 3¹ × 5² × 313¹ × 7¹ × 11¹ × 61¹
LCM(46950,46970) = 220524150