What is the Least Common Multiple of 74295 and 74305?

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 74295 and 74305 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74295 and 74305, than apply into the LCM equation.

GCF(74295,74305) = 5
LCM(74295,74305) = ( 74295 × 74305) / 5
LCM(74295,74305) = 5520489975 / 5
LCM(74295,74305) = 1104097995

Least Common Multiple (LCM) of 74295 and 74305 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74295 and 74305. First we will calculate the prime factors of 74295 and 74305.

Prime Factorization of 74295

Prime Factorization of 74305

Now multiplying the highest exponent prime factors to calculate the LCM of 74295 and 74305.

LCM(74295,74305) = 3² × 5¹ × 13¹ × 127¹ × 7¹ × 11¹ × 193¹
LCM(74295,74305) = 1104097995