What is the Least Common Multiple of 4370 and 4378?

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 4370 and 4378 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4370 and 4378, than apply into the LCM equation.

GCF(4370,4378) = 2
LCM(4370,4378) = ( 4370 × 4378) / 2
LCM(4370,4378) = 19131860 / 2
LCM(4370,4378) = 9565930

Least Common Multiple (LCM) of 4370 and 4378 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4370 and 4378. First we will calculate the prime factors of 4370 and 4378.

Prime Factorization of 4370

Prime Factorization of 4378

Now multiplying the highest exponent prime factors to calculate the LCM of 4370 and 4378.

LCM(4370,4378) = 2¹ × 5¹ × 19¹ × 23¹ × 11¹ × 199¹
LCM(4370,4378) = 9565930