What is the Least Common Multiple of 87945 and 87954?

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 87945 and 87954 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87945 and 87954, than apply into the LCM equation.

GCF(87945,87954) = 3
LCM(87945,87954) = ( 87945 × 87954) / 3
LCM(87945,87954) = 7735114530 / 3
LCM(87945,87954) = 2578371510

Least Common Multiple (LCM) of 87945 and 87954 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87945 and 87954. First we will calculate the prime factors of 87945 and 87954.

Prime Factorization of 87945

Prime Factorization of 87954

Now multiplying the highest exponent prime factors to calculate the LCM of 87945 and 87954.

LCM(87945,87954) = 3¹ × 5¹ × 11¹ × 13¹ × 41¹ × 2¹ × 107¹ × 137¹
LCM(87945,87954) = 2578371510