What is the Least Common Multiple of 49965 and 49971?

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 49965 and 49971 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49965 and 49971, than apply into the LCM equation.

GCF(49965,49971) = 3
LCM(49965,49971) = ( 49965 × 49971) / 3
LCM(49965,49971) = 2496801015 / 3
LCM(49965,49971) = 832267005

Least Common Multiple (LCM) of 49965 and 49971 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49965 and 49971. First we will calculate the prime factors of 49965 and 49971.

Prime Factorization of 49965

Prime Factorization of 49971

Now multiplying the highest exponent prime factors to calculate the LCM of 49965 and 49971.

LCM(49965,49971) = 3¹ × 5¹ × 3331¹ × 16657¹
LCM(49965,49971) = 832267005