What is the Least Common Multiple of 89745 and 89759?

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 89745 and 89759 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89745 and 89759, than apply into the LCM equation.

GCF(89745,89759) = 1
LCM(89745,89759) = ( 89745 × 89759) / 1
LCM(89745,89759) = 8055421455 / 1
LCM(89745,89759) = 8055421455

Least Common Multiple (LCM) of 89745 and 89759 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89745 and 89759. First we will calculate the prime factors of 89745 and 89759.

Prime Factorization of 89745

Prime Factorization of 89759

Now multiplying the highest exponent prime factors to calculate the LCM of 89745 and 89759.

LCM(89745,89759) = 3¹ × 5¹ × 31¹ × 193¹ × 89759¹
LCM(89745,89759) = 8055421455