What is the Least Common Multiple of 87954 and 87959?

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 87954 and 87959 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87954 and 87959, than apply into the LCM equation.

GCF(87954,87959) = 1
LCM(87954,87959) = ( 87954 × 87959) / 1
LCM(87954,87959) = 7736345886 / 1
LCM(87954,87959) = 7736345886

Least Common Multiple (LCM) of 87954 and 87959 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87954 and 87959. First we will calculate the prime factors of 87954 and 87959.

Prime Factorization of 87954

Prime Factorization of 87959

Now multiplying the highest exponent prime factors to calculate the LCM of 87954 and 87959.

LCM(87954,87959) = 2¹ × 3¹ × 107¹ × 137¹ × 87959¹
LCM(87954,87959) = 7736345886