What is the Least Common Multiple of 19924 and 19942?

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 19924 and 19942 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19924 and 19942, than apply into the LCM equation.

GCF(19924,19942) = 2
LCM(19924,19942) = ( 19924 × 19942) / 2
LCM(19924,19942) = 397324408 / 2
LCM(19924,19942) = 198662204

Least Common Multiple (LCM) of 19924 and 19942 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19924 and 19942. First we will calculate the prime factors of 19924 and 19942.

Prime Factorization of 19924

Prime Factorization of 19942

Now multiplying the highest exponent prime factors to calculate the LCM of 19924 and 19942.

LCM(19924,19942) = 2² × 17¹ × 293¹ × 13² × 59¹
LCM(19924,19942) = 198662204