What is the Least Common Multiple of 49577 and 49596?

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 49577 and 49596 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49577 and 49596, than apply into the LCM equation.

GCF(49577,49596) = 1
LCM(49577,49596) = ( 49577 × 49596) / 1
LCM(49577,49596) = 2458820892 / 1
LCM(49577,49596) = 2458820892

Least Common Multiple (LCM) of 49577 and 49596 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49577 and 49596. First we will calculate the prime factors of 49577 and 49596.

Prime Factorization of 49577

Prime Factorization of 49596

Now multiplying the highest exponent prime factors to calculate the LCM of 49577 and 49596.

LCM(49577,49596) = 11¹ × 4507¹ × 2² × 3¹ × 4133¹
LCM(49577,49596) = 2458820892