What is the Least Common Multiple of 74233 and 74252?

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 74233 and 74252 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74233 and 74252, than apply into the LCM equation.

GCF(74233,74252) = 19
LCM(74233,74252) = ( 74233 × 74252) / 19
LCM(74233,74252) = 5511948716 / 19
LCM(74233,74252) = 290102564

Least Common Multiple (LCM) of 74233 and 74252 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74233 and 74252. First we will calculate the prime factors of 74233 and 74252.

Prime Factorization of 74233

Prime Factorization of 74252

Now multiplying the highest exponent prime factors to calculate the LCM of 74233 and 74252.

LCM(74233,74252) = 19¹ × 3907¹ × 2² × 977¹
LCM(74233,74252) = 290102564