What is the Least Common Multiple of 52901 and 52907?

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 52901 and 52907 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52901 and 52907, than apply into the LCM equation.

GCF(52901,52907) = 1
LCM(52901,52907) = ( 52901 × 52907) / 1
LCM(52901,52907) = 2798833207 / 1
LCM(52901,52907) = 2798833207

Least Common Multiple (LCM) of 52901 and 52907 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52901 and 52907. First we will calculate the prime factors of 52901 and 52907.

Prime Factorization of 52901

Prime Factorization of 52907

Now multiplying the highest exponent prime factors to calculate the LCM of 52901 and 52907.

LCM(52901,52907) = 52901¹ × 191¹ × 277¹
LCM(52901,52907) = 2798833207