What is the Least Common Multiple of 49644 and 49656?

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 49644 and 49656 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49644 and 49656, than apply into the LCM equation.

GCF(49644,49656) = 12
LCM(49644,49656) = ( 49644 × 49656) / 12
LCM(49644,49656) = 2465122464 / 12
LCM(49644,49656) = 205426872

Least Common Multiple (LCM) of 49644 and 49656 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49644 and 49656. First we will calculate the prime factors of 49644 and 49656.

Prime Factorization of 49644

Prime Factorization of 49656

Now multiplying the highest exponent prime factors to calculate the LCM of 49644 and 49656.

LCM(49644,49656) = 2³ × 3² × 7¹ × 197¹ × 2069¹
LCM(49644,49656) = 205426872