What is the Least Common Multiple of 89780 and 89785?

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 89780 and 89785 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89780 and 89785, than apply into the LCM equation.

GCF(89780,89785) = 5
LCM(89780,89785) = ( 89780 × 89785) / 5
LCM(89780,89785) = 8060897300 / 5
LCM(89780,89785) = 1612179460

Least Common Multiple (LCM) of 89780 and 89785 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89780 and 89785. First we will calculate the prime factors of 89780 and 89785.

Prime Factorization of 89780

Prime Factorization of 89785

Now multiplying the highest exponent prime factors to calculate the LCM of 89780 and 89785.

LCM(89780,89785) = 2² × 5¹ × 67² × 17957¹
LCM(89780,89785) = 1612179460