What is the Least Common Multiple of 87261 and 87268?

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 87261 and 87268 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87261 and 87268, than apply into the LCM equation.

GCF(87261,87268) = 1
LCM(87261,87268) = ( 87261 × 87268) / 1
LCM(87261,87268) = 7615092948 / 1
LCM(87261,87268) = 7615092948

Least Common Multiple (LCM) of 87261 and 87268 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87261 and 87268. First we will calculate the prime factors of 87261 and 87268.

Prime Factorization of 87261

Prime Factorization of 87268

Now multiplying the highest exponent prime factors to calculate the LCM of 87261 and 87268.

LCM(87261,87268) = 3¹ × 17¹ × 29¹ × 59¹ × 2² × 21817¹
LCM(87261,87268) = 7615092948