What is the Least Common Multiple of 49596 and 49611?

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 49596 and 49611 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49596 and 49611, than apply into the LCM equation.

GCF(49596,49611) = 3
LCM(49596,49611) = ( 49596 × 49611) / 3
LCM(49596,49611) = 2460507156 / 3
LCM(49596,49611) = 820169052

Least Common Multiple (LCM) of 49596 and 49611 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49596 and 49611. First we will calculate the prime factors of 49596 and 49611.

Prime Factorization of 49596

Prime Factorization of 49611

Now multiplying the highest exponent prime factors to calculate the LCM of 49596 and 49611.

LCM(49596,49611) = 2² × 3¹ × 4133¹ × 23¹ × 719¹
LCM(49596,49611) = 820169052