What is the Least Common Multiple of 61644 and 61649?

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 61644 and 61649 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61644 and 61649, than apply into the LCM equation.

GCF(61644,61649) = 1
LCM(61644,61649) = ( 61644 × 61649) / 1
LCM(61644,61649) = 3800290956 / 1
LCM(61644,61649) = 3800290956

Least Common Multiple (LCM) of 61644 and 61649 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61644 and 61649. First we will calculate the prime factors of 61644 and 61649.

Prime Factorization of 61644

Prime Factorization of 61649

Now multiplying the highest exponent prime factors to calculate the LCM of 61644 and 61649.

LCM(61644,61649) = 2² × 3¹ × 11¹ × 467¹ × 7¹ × 8807¹
LCM(61644,61649) = 3800290956