What is the Least Common Multiple of 61644 and 61656?

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 61656 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 61656, than apply into the LCM equation.

GCF(61644,61656) = 12
LCM(61644,61656) = ( 61644 × 61656) / 12
LCM(61644,61656) = 3800722464 / 12
LCM(61644,61656) = 316726872

Least Common Multiple (LCM) of 61644 and 61656 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61644 and 61656. First we will calculate the prime factors of 61644 and 61656.

Prime Factorization of 61644

Prime Factorization of 61656

Now multiplying the highest exponent prime factors to calculate the LCM of 61644 and 61656.

LCM(61644,61656) = 2³ × 3¹ × 11¹ × 467¹ × 7¹ × 367¹
LCM(61644,61656) = 316726872