What is the Least Common Multiple of 53982 and 53998?

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 53982 and 53998 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53982 and 53998, than apply into the LCM equation.

GCF(53982,53998) = 2
LCM(53982,53998) = ( 53982 × 53998) / 2
LCM(53982,53998) = 2914920036 / 2
LCM(53982,53998) = 1457460018

Least Common Multiple (LCM) of 53982 and 53998 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53982 and 53998. First we will calculate the prime factors of 53982 and 53998.

Prime Factorization of 53982

Prime Factorization of 53998

Now multiplying the highest exponent prime factors to calculate the LCM of 53982 and 53998.

LCM(53982,53998) = 2¹ × 3² × 2999¹ × 7² × 19¹ × 29¹
LCM(53982,53998) = 1457460018