What is the Least Common Multiple of 89670 and 89690?

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 89670 and 89690 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89670 and 89690, than apply into the LCM equation.

GCF(89670,89690) = 10
LCM(89670,89690) = ( 89670 × 89690) / 10
LCM(89670,89690) = 8042502300 / 10
LCM(89670,89690) = 804250230

Least Common Multiple (LCM) of 89670 and 89690 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89670 and 89690. First we will calculate the prime factors of 89670 and 89690.

Prime Factorization of 89670

Prime Factorization of 89690

Now multiplying the highest exponent prime factors to calculate the LCM of 89670 and 89690.

LCM(89670,89690) = 2¹ × 3¹ × 5¹ × 7² × 61¹ × 8969¹
LCM(89670,89690) = 804250230