What is the Least Common Multiple of 13950 and 13970?

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 13950 and 13970 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13950 and 13970, than apply into the LCM equation.

GCF(13950,13970) = 10
LCM(13950,13970) = ( 13950 × 13970) / 10
LCM(13950,13970) = 194881500 / 10
LCM(13950,13970) = 19488150

Least Common Multiple (LCM) of 13950 and 13970 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13950 and 13970. First we will calculate the prime factors of 13950 and 13970.

Prime Factorization of 13950

Prime Factorization of 13970

Now multiplying the highest exponent prime factors to calculate the LCM of 13950 and 13970.

LCM(13950,13970) = 2¹ × 3² × 5² × 31¹ × 11¹ × 127¹
LCM(13950,13970) = 19488150