What is the Least Common Multiple of 56820 and 56838?

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 56820 and 56838 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56820 and 56838, than apply into the LCM equation.

GCF(56820,56838) = 6
LCM(56820,56838) = ( 56820 × 56838) / 6
LCM(56820,56838) = 3229535160 / 6
LCM(56820,56838) = 538255860

Least Common Multiple (LCM) of 56820 and 56838 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56820 and 56838. First we will calculate the prime factors of 56820 and 56838.

Prime Factorization of 56820

Prime Factorization of 56838

Now multiplying the highest exponent prime factors to calculate the LCM of 56820 and 56838.

LCM(56820,56838) = 2² × 3¹ × 5¹ × 947¹ × 9473¹
LCM(56820,56838) = 538255860