What is the Least Common Multiple of 90874 and 90885?

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 90874 and 90885 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90874 and 90885, than apply into the LCM equation.

GCF(90874,90885) = 1
LCM(90874,90885) = ( 90874 × 90885) / 1
LCM(90874,90885) = 8259083490 / 1
LCM(90874,90885) = 8259083490

Least Common Multiple (LCM) of 90874 and 90885 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90874 and 90885. First we will calculate the prime factors of 90874 and 90885.

Prime Factorization of 90874

Prime Factorization of 90885

Now multiplying the highest exponent prime factors to calculate the LCM of 90874 and 90885.

LCM(90874,90885) = 2¹ × 7¹ × 6491¹ × 3¹ × 5¹ × 73¹ × 83¹
LCM(90874,90885) = 8259083490