What is the Least Common Multiple of 53991 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 53991 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 53991 and 53998, than apply into the LCM equation.

GCF(53991,53998) = 7
LCM(53991,53998) = ( 53991 × 53998) / 7
LCM(53991,53998) = 2915406018 / 7
LCM(53991,53998) = 416486574

Least Common Multiple (LCM) of 53991 and 53998 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53991 and 53998. First we will calculate the prime factors of 53991 and 53998.

Prime Factorization of 53991

Prime Factorization of 53998

Now multiplying the highest exponent prime factors to calculate the LCM of 53991 and 53998.

LCM(53991,53998) = 3² × 7² × 857¹ × 2¹ × 19¹ × 29¹
LCM(53991,53998) = 416486574