What is the Least Common Multiple of 61820 and 61839?

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 61820 and 61839 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61820 and 61839, than apply into the LCM equation.

GCF(61820,61839) = 1
LCM(61820,61839) = ( 61820 × 61839) / 1
LCM(61820,61839) = 3822886980 / 1
LCM(61820,61839) = 3822886980

Least Common Multiple (LCM) of 61820 and 61839 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61820 and 61839. First we will calculate the prime factors of 61820 and 61839.

Prime Factorization of 61820

Prime Factorization of 61839

Now multiplying the highest exponent prime factors to calculate the LCM of 61820 and 61839.

LCM(61820,61839) = 2² × 5¹ × 11¹ × 281¹ × 3² × 6871¹
LCM(61820,61839) = 3822886980