What is the Least Common Multiple of 19950 and 19969?

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 19950 and 19969 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19950 and 19969, than apply into the LCM equation.

GCF(19950,19969) = 19
LCM(19950,19969) = ( 19950 × 19969) / 19
LCM(19950,19969) = 398381550 / 19
LCM(19950,19969) = 20967450

Least Common Multiple (LCM) of 19950 and 19969 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19950 and 19969. First we will calculate the prime factors of 19950 and 19969.

Prime Factorization of 19950

Prime Factorization of 19969

Now multiplying the highest exponent prime factors to calculate the LCM of 19950 and 19969.

LCM(19950,19969) = 2¹ × 3¹ × 5² × 7¹ × 19¹ × 1051¹
LCM(19950,19969) = 20967450