What is the Least Common Multiple of 49378 and 49383?

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 49378 and 49383 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49378 and 49383, than apply into the LCM equation.

GCF(49378,49383) = 1
LCM(49378,49383) = ( 49378 × 49383) / 1
LCM(49378,49383) = 2438433774 / 1
LCM(49378,49383) = 2438433774

Least Common Multiple (LCM) of 49378 and 49383 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49378 and 49383. First we will calculate the prime factors of 49378 and 49383.

Prime Factorization of 49378

Prime Factorization of 49383

Now multiplying the highest exponent prime factors to calculate the LCM of 49378 and 49383.

LCM(49378,49383) = 2¹ × 7¹ × 3527¹ × 3³ × 31¹ × 59¹
LCM(49378,49383) = 2438433774