What is the Least Common Multiple of 56378 and 56385?

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 56378 and 56385 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56378 and 56385, than apply into the LCM equation.

GCF(56378,56385) = 7
LCM(56378,56385) = ( 56378 × 56385) / 7
LCM(56378,56385) = 3178873530 / 7
LCM(56378,56385) = 454124790

Least Common Multiple (LCM) of 56378 and 56385 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56378 and 56385. First we will calculate the prime factors of 56378 and 56385.

Prime Factorization of 56378

Prime Factorization of 56385

Now multiplying the highest exponent prime factors to calculate the LCM of 56378 and 56385.

LCM(56378,56385) = 2¹ × 7¹ × 4027¹ × 3² × 5¹ × 179¹
LCM(56378,56385) = 454124790