What is the Least Common Multiple of 58890 and 58901?

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 58890 and 58901 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58890 and 58901, than apply into the LCM equation.

GCF(58890,58901) = 1
LCM(58890,58901) = ( 58890 × 58901) / 1
LCM(58890,58901) = 3468679890 / 1
LCM(58890,58901) = 3468679890

Least Common Multiple (LCM) of 58890 and 58901 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58890 and 58901. First we will calculate the prime factors of 58890 and 58901.

Prime Factorization of 58890

Prime Factorization of 58901

Now multiplying the highest exponent prime factors to calculate the LCM of 58890 and 58901.

LCM(58890,58901) = 2¹ × 3¹ × 5¹ × 13¹ × 151¹ × 58901¹
LCM(58890,58901) = 3468679890