What is the Least Common Multiple of 90690 and 90710?

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 90690 and 90710 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90690 and 90710, than apply into the LCM equation.

GCF(90690,90710) = 10
LCM(90690,90710) = ( 90690 × 90710) / 10
LCM(90690,90710) = 8226489900 / 10
LCM(90690,90710) = 822648990

Least Common Multiple (LCM) of 90690 and 90710 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90690 and 90710. First we will calculate the prime factors of 90690 and 90710.

Prime Factorization of 90690

Prime Factorization of 90710

Now multiplying the highest exponent prime factors to calculate the LCM of 90690 and 90710.

LCM(90690,90710) = 2¹ × 3¹ × 5¹ × 3023¹ × 47¹ × 193¹
LCM(90690,90710) = 822648990