What is the Least Common Multiple of 49360 and 49378?

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 49360 and 49378 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49360 and 49378, than apply into the LCM equation.

GCF(49360,49378) = 2
LCM(49360,49378) = ( 49360 × 49378) / 2
LCM(49360,49378) = 2437298080 / 2
LCM(49360,49378) = 1218649040

Least Common Multiple (LCM) of 49360 and 49378 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49360 and 49378. First we will calculate the prime factors of 49360 and 49378.

Prime Factorization of 49360

Prime Factorization of 49378

Now multiplying the highest exponent prime factors to calculate the LCM of 49360 and 49378.

LCM(49360,49378) = 2⁴ × 5¹ × 617¹ × 7¹ × 3527¹
LCM(49360,49378) = 1218649040