What is the Least Common Multiple of 87958 and 87973?

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 87958 and 87973 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87958 and 87973, than apply into the LCM equation.

GCF(87958,87973) = 1
LCM(87958,87973) = ( 87958 × 87973) / 1
LCM(87958,87973) = 7737929134 / 1
LCM(87958,87973) = 7737929134

Least Common Multiple (LCM) of 87958 and 87973 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87958 and 87973. First we will calculate the prime factors of 87958 and 87973.

Prime Factorization of 87958

Prime Factorization of 87973

Now multiplying the highest exponent prime factors to calculate the LCM of 87958 and 87973.

LCM(87958,87973) = 2¹ × 13¹ × 17¹ × 199¹ × 87973¹
LCM(87958,87973) = 7737929134