What is the Least Common Multiple of 13950 and 13969?

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 13969 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 13969, than apply into the LCM equation.

GCF(13950,13969) = 1
LCM(13950,13969) = ( 13950 × 13969) / 1
LCM(13950,13969) = 194867550 / 1
LCM(13950,13969) = 194867550

Least Common Multiple (LCM) of 13950 and 13969 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13950 and 13969. First we will calculate the prime factors of 13950 and 13969.

Prime Factorization of 13950

Prime Factorization of 13969

Now multiplying the highest exponent prime factors to calculate the LCM of 13950 and 13969.

LCM(13950,13969) = 2¹ × 3² × 5² × 31¹ × 61¹ × 229¹
LCM(13950,13969) = 194867550