What is the Least Common Multiple of 90643 and 90660?

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 90643 and 90660 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90643 and 90660, than apply into the LCM equation.

GCF(90643,90660) = 1
LCM(90643,90660) = ( 90643 × 90660) / 1
LCM(90643,90660) = 8217694380 / 1
LCM(90643,90660) = 8217694380

Least Common Multiple (LCM) of 90643 and 90660 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90643 and 90660. First we will calculate the prime factors of 90643 and 90660.

Prime Factorization of 90643

Prime Factorization of 90660

Now multiplying the highest exponent prime factors to calculate the LCM of 90643 and 90660.

LCM(90643,90660) = 7¹ × 23¹ × 563¹ × 2² × 3¹ × 5¹ × 1511¹
LCM(90643,90660) = 8217694380