What is the Least Common Multiple of 94820 and 94838?

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 94820 and 94838 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94820 and 94838, than apply into the LCM equation.

GCF(94820,94838) = 2
LCM(94820,94838) = ( 94820 × 94838) / 2
LCM(94820,94838) = 8992539160 / 2
LCM(94820,94838) = 4496269580

Least Common Multiple (LCM) of 94820 and 94838 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94820 and 94838. First we will calculate the prime factors of 94820 and 94838.

Prime Factorization of 94820

Prime Factorization of 94838

Now multiplying the highest exponent prime factors to calculate the LCM of 94820 and 94838.

LCM(94820,94838) = 2² × 5¹ × 11¹ × 431¹ × 47419¹
LCM(94820,94838) = 4496269580