What is the Least Common Multiple of 74228 and 74235?

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 74228 and 74235 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74228 and 74235, than apply into the LCM equation.

GCF(74228,74235) = 7
LCM(74228,74235) = ( 74228 × 74235) / 7
LCM(74228,74235) = 5510315580 / 7
LCM(74228,74235) = 787187940

Least Common Multiple (LCM) of 74228 and 74235 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74228 and 74235. First we will calculate the prime factors of 74228 and 74235.

Prime Factorization of 74228

Prime Factorization of 74235

Now multiplying the highest exponent prime factors to calculate the LCM of 74228 and 74235.

LCM(74228,74235) = 2² × 7² × 11¹ × 241¹ × 3¹ × 5¹ × 101¹
LCM(74228,74235) = 787187940