What is the Least Common Multiple of 89739 and 89745?

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 89739 and 89745 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89739 and 89745, than apply into the LCM equation.

GCF(89739,89745) = 3
LCM(89739,89745) = ( 89739 × 89745) / 3
LCM(89739,89745) = 8053626555 / 3
LCM(89739,89745) = 2684542185

Least Common Multiple (LCM) of 89739 and 89745 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89739 and 89745. First we will calculate the prime factors of 89739 and 89745.

Prime Factorization of 89739

Prime Factorization of 89745

Now multiplying the highest exponent prime factors to calculate the LCM of 89739 and 89745.

LCM(89739,89745) = 3² × 13² × 59¹ × 5¹ × 31¹ × 193¹
LCM(89739,89745) = 2684542185