What is the Least Common Multiple of 61827 and 61836?

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 61827 and 61836 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61827 and 61836, than apply into the LCM equation.

GCF(61827,61836) = 3
LCM(61827,61836) = ( 61827 × 61836) / 3
LCM(61827,61836) = 3823134372 / 3
LCM(61827,61836) = 1274378124

Least Common Multiple (LCM) of 61827 and 61836 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61827 and 61836. First we will calculate the prime factors of 61827 and 61836.

Prime Factorization of 61827

Prime Factorization of 61836

Now multiplying the highest exponent prime factors to calculate the LCM of 61827 and 61836.

LCM(61827,61836) = 3¹ × 37¹ × 557¹ × 2² × 5153¹
LCM(61827,61836) = 1274378124