What is the Least Common Multiple of 89820 and 89834?

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 89820 and 89834 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89820 and 89834, than apply into the LCM equation.

GCF(89820,89834) = 2
LCM(89820,89834) = ( 89820 × 89834) / 2
LCM(89820,89834) = 8068889880 / 2
LCM(89820,89834) = 4034444940

Least Common Multiple (LCM) of 89820 and 89834 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89820 and 89834. First we will calculate the prime factors of 89820 and 89834.

Prime Factorization of 89820

Prime Factorization of 89834

Now multiplying the highest exponent prime factors to calculate the LCM of 89820 and 89834.

LCM(89820,89834) = 2² × 3² × 5¹ × 499¹ × 44917¹
LCM(89820,89834) = 4034444940