What is the Least Common Multiple of 89791 and 89801?

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 89791 and 89801 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89791 and 89801, than apply into the LCM equation.

GCF(89791,89801) = 1
LCM(89791,89801) = ( 89791 × 89801) / 1
LCM(89791,89801) = 8063321591 / 1
LCM(89791,89801) = 8063321591

Least Common Multiple (LCM) of 89791 and 89801 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89791 and 89801. First we will calculate the prime factors of 89791 and 89801.

Prime Factorization of 89791

Prime Factorization of 89801

Now multiplying the highest exponent prime factors to calculate the LCM of 89791 and 89801.

LCM(89791,89801) = 13¹ × 6907¹ × 89¹ × 1009¹
LCM(89791,89801) = 8063321591