What is the Least Common Multiple of 90652 and 90662?

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 90652 and 90662 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90652 and 90662, than apply into the LCM equation.

GCF(90652,90662) = 2
LCM(90652,90662) = ( 90652 × 90662) / 2
LCM(90652,90662) = 8218691624 / 2
LCM(90652,90662) = 4109345812

Least Common Multiple (LCM) of 90652 and 90662 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90652 and 90662. First we will calculate the prime factors of 90652 and 90662.

Prime Factorization of 90652

Prime Factorization of 90662

Now multiplying the highest exponent prime factors to calculate the LCM of 90652 and 90662.

LCM(90652,90662) = 2² × 131¹ × 173¹ × 11¹ × 13¹ × 317¹
LCM(90652,90662) = 4109345812