What is the Least Common Multiple of 90690 and 90698?

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 90698 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 90698, than apply into the LCM equation.

GCF(90690,90698) = 2
LCM(90690,90698) = ( 90690 × 90698) / 2
LCM(90690,90698) = 8225401620 / 2
LCM(90690,90698) = 4112700810

Least Common Multiple (LCM) of 90690 and 90698 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90690 and 90698. First we will calculate the prime factors of 90690 and 90698.

Prime Factorization of 90690

Prime Factorization of 90698

Now multiplying the highest exponent prime factors to calculate the LCM of 90690 and 90698.

LCM(90690,90698) = 2¹ × 3¹ × 5¹ × 3023¹ × 101¹ × 449¹
LCM(90690,90698) = 4112700810