What is the Least Common Multiple of 88506 and 88522?

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 88506 and 88522 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88506 and 88522, than apply into the LCM equation.

GCF(88506,88522) = 2
LCM(88506,88522) = ( 88506 × 88522) / 2
LCM(88506,88522) = 7834728132 / 2
LCM(88506,88522) = 3917364066

Least Common Multiple (LCM) of 88506 and 88522 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88506 and 88522. First we will calculate the prime factors of 88506 and 88522.

Prime Factorization of 88506

Prime Factorization of 88522

Now multiplying the highest exponent prime factors to calculate the LCM of 88506 and 88522.

LCM(88506,88522) = 2¹ × 3³ × 11¹ × 149¹ × 7¹ × 6323¹
LCM(88506,88522) = 3917364066